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Finding the Fourth Proportional to 274.35, 411.62 and 152.72

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Solution

The fourth proportional to 274.35, 411.62 and 152.72 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 411.62 = 152.72 : x
  2. Step 2: Convert to fraction form
    274.35/411.62 = 152.72/x
  3. Step 3: Cross multiply
    274.35x = 411.62 × 152.72
  4. Step 4: Simplify right side
    274.35x = 62,859.78
  5. Step 5: Solve for x
    x = 62,859.78/274.35
  6. Step 6: Final answer
    x = 229.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.