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Finding the Fourth Proportional to 307.13, 460.71 and 124.52

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Solution

The fourth proportional to 307.13, 460.71 and 124.52 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 460.71 = 124.52 : x
  2. Step 2: Convert to fraction form
    307.13/460.71 = 124.52/x
  3. Step 3: Cross multiply
    307.13x = 460.71 × 124.52
  4. Step 4: Simplify right side
    307.13x = 57,365.31
  5. Step 5: Solve for x
    x = 57,365.31/307.13
  6. Step 6: Final answer
    x = 186.78

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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.