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Finding the Fourth Proportional to 274.42, 410.91 and 158.77

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Solution

The fourth proportional to 274.42, 410.91 and 158.77 is: 237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 410.91 = 158.77 : x
  2. Step 2: Convert to fraction form
    274.42/410.91 = 158.77/x
  3. Step 3: Cross multiply
    274.42x = 410.91 × 158.77
  4. Step 4: Simplify right side
    274.42x = 65,240.18
  5. Step 5: Solve for x
    x = 65,240.18/274.42
  6. Step 6: Final answer
    x = 237.74

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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.