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Finding the Fourth Proportional to 274.49, 410.90 and 152.38

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Solution

The fourth proportional to 274.49, 410.90 and 152.38 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 410.90 = 152.38 : x
  2. Step 2: Convert to fraction form
    274.49/410.90 = 152.38/x
  3. Step 3: Cross multiply
    274.49x = 410.90 × 152.38
  4. Step 4: Simplify right side
    274.49x = 62,612.94
  5. Step 5: Solve for x
    x = 62,612.94/274.49
  6. Step 6: Final answer
    x = 228.11

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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.