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Finding the Fourth Proportional to 307.05, 460.64 and 160.93

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Solution

The fourth proportional to 307.05, 460.64 and 160.93 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 460.64 = 160.93 : x
  2. Step 2: Convert to fraction form
    307.05/460.64 = 160.93/x
  3. Step 3: Cross multiply
    307.05x = 460.64 × 160.93
  4. Step 4: Simplify right side
    307.05x = 74,130.80
  5. Step 5: Solve for x
    x = 74,130.80/307.05
  6. Step 6: Final answer
    x = 241.43

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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.