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Finding the Fourth Proportional to 152.64, 227.70 and 142.14

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Solution

The fourth proportional to 152.64, 227.70 and 142.14 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 227.70 = 142.14 : x
  2. Step 2: Convert to fraction form
    152.64/227.70 = 142.14/x
  3. Step 3: Cross multiply
    152.64x = 227.70 × 142.14
  4. Step 4: Simplify right side
    152.64x = 32,365.28
  5. Step 5: Solve for x
    x = 32,365.28/152.64
  6. Step 6: Final answer
    x = 212.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.