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Finding the Fourth Proportional to 307.08, 460.64 and 220.81

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Solution

The fourth proportional to 307.08, 460.64 and 220.81 is: 331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 460.64 = 220.81 : x
  2. Step 2: Convert to fraction form
    307.08/460.64 = 220.81/x
  3. Step 3: Cross multiply
    307.08x = 460.64 × 220.81
  4. Step 4: Simplify right side
    307.08x = 101,710.51
  5. Step 5: Solve for x
    x = 101,710.51/307.08
  6. Step 6: Final answer
    x = 331.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.