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Finding the Fourth Proportional to 296.52, 444.76 and 123.14

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Solution

The fourth proportional to 296.52, 444.76 and 123.14 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 444.76 = 123.14 : x
  2. Step 2: Convert to fraction form
    296.52/444.76 = 123.14/x
  3. Step 3: Cross multiply
    296.52x = 444.76 × 123.14
  4. Step 4: Simplify right side
    296.52x = 54,767.75
  5. Step 5: Solve for x
    x = 54,767.75/296.52
  6. Step 6: Final answer
    x = 184.70

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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.