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Finding the Fourth Proportional to 616.08, 924.14 and 177.34

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Solution

The fourth proportional to 616.08, 924.14 and 177.34 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 924.14 = 177.34 : x
  2. Step 2: Convert to fraction form
    616.08/924.14 = 177.34/x
  3. Step 3: Cross multiply
    616.08x = 924.14 × 177.34
  4. Step 4: Simplify right side
    616.08x = 163,886.99
  5. Step 5: Solve for x
    x = 163,886.99/616.08
  6. Step 6: Final answer
    x = 266.02

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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.