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Finding the Fourth Proportional to 614.95, 922.43 and 152.74

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Solution

The fourth proportional to 614.95, 922.43 and 152.74 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.95 : 922.43 = 152.74 : x
  2. Step 2: Convert to fraction form
    614.95/922.43 = 152.74/x
  3. Step 3: Cross multiply
    614.95x = 922.43 × 152.74
  4. Step 4: Simplify right side
    614.95x = 140,891.96
  5. Step 5: Solve for x
    x = 140,891.96/614.95
  6. Step 6: Final answer
    x = 229.11

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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.