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Finding the Fourth Proportional to 614.74, 922.08 and 152.51

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Solution

The fourth proportional to 614.74, 922.08 and 152.51 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.74 : 922.08 = 152.51 : x
  2. Step 2: Convert to fraction form
    614.74/922.08 = 152.51/x
  3. Step 3: Cross multiply
    614.74x = 922.08 × 152.51
  4. Step 4: Simplify right side
    614.74x = 140,624.98
  5. Step 5: Solve for x
    x = 140,624.98/614.74
  6. Step 6: Final answer
    x = 228.76

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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.