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Finding the Fourth Proportional to 274.75, 412.02 and 101.47

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Solution

The fourth proportional to 274.75, 412.02 and 101.47 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 412.02 = 101.47 : x
  2. Step 2: Convert to fraction form
    274.75/412.02 = 101.47/x
  3. Step 3: Cross multiply
    274.75x = 412.02 × 101.47
  4. Step 4: Simplify right side
    274.75x = 41,807.67
  5. Step 5: Solve for x
    x = 41,807.67/274.75
  6. Step 6: Final answer
    x = 152.17

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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.