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Finding the Fourth Proportional to 307.04, 460.16 and 114.48

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Solution

The fourth proportional to 307.04, 460.16 and 114.48 is: 171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.04 : 460.16 = 114.48 : x
  2. Step 2: Convert to fraction form
    307.04/460.16 = 114.48/x
  3. Step 3: Cross multiply
    307.04x = 460.16 × 114.48
  4. Step 4: Simplify right side
    307.04x = 52,679.12
  5. Step 5: Solve for x
    x = 52,679.12/307.04
  6. Step 6: Final answer
    x = 171.57

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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.