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Finding the Fourth Proportional to 614.61, 921.96 and 175.87

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Solution

The fourth proportional to 614.61, 921.96 and 175.87 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 921.96 = 175.87 : x
  2. Step 2: Convert to fraction form
    614.61/921.96 = 175.87/x
  3. Step 3: Cross multiply
    614.61x = 921.96 × 175.87
  4. Step 4: Simplify right side
    614.61x = 162,145.11
  5. Step 5: Solve for x
    x = 162,145.11/614.61
  6. Step 6: Final answer
    x = 263.82

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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.