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Finding the Fourth Proportional to 616.06, 924.14 and 177.31

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Solution

The fourth proportional to 616.06, 924.14 and 177.31 is: 265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.06 : 924.14 = 177.31 : x
  2. Step 2: Convert to fraction form
    616.06/924.14 = 177.31/x
  3. Step 3: Cross multiply
    616.06x = 924.14 × 177.31
  4. Step 4: Simplify right side
    616.06x = 163,856.07
  5. Step 5: Solve for x
    x = 163,856.07/616.06
  6. Step 6: Final answer
    x = 265.98

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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.