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Finding the Fourth Proportional to 316.24, 474.16 and 123.76

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Solution

The fourth proportional to 316.24, 474.16 and 123.76 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 474.16 = 123.76 : x
  2. Step 2: Convert to fraction form
    316.24/474.16 = 123.76/x
  3. Step 3: Cross multiply
    316.24x = 474.16 × 123.76
  4. Step 4: Simplify right side
    316.24x = 58,682.04
  5. Step 5: Solve for x
    x = 58,682.04/316.24
  6. Step 6: Final answer
    x = 185.56

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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.