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Finding the Fourth Proportional to 274.62, 411.66 and 101.16

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Solution

The fourth proportional to 274.62, 411.66 and 101.16 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 411.66 = 101.16 : x
  2. Step 2: Convert to fraction form
    274.62/411.66 = 101.16/x
  3. Step 3: Cross multiply
    274.62x = 411.66 × 101.16
  4. Step 4: Simplify right side
    274.62x = 41,643.53
  5. Step 5: Solve for x
    x = 41,643.53/274.62
  6. Step 6: Final answer
    x = 151.64

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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.