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Finding the Fourth Proportional to 614.45, 921.67 and 152.24

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Solution

The fourth proportional to 614.45, 921.67 and 152.24 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 921.67 = 152.24 : x
  2. Step 2: Convert to fraction form
    614.45/921.67 = 152.24/x
  3. Step 3: Cross multiply
    614.45x = 921.67 × 152.24
  4. Step 4: Simplify right side
    614.45x = 140,310.05
  5. Step 5: Solve for x
    x = 140,310.05/614.45
  6. Step 6: Final answer
    x = 228.35

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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.