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Finding the Fourth Proportional to 142.16, 212.32 and 135.78

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Solution

The fourth proportional to 142.16, 212.32 and 135.78 is: 202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 212.32 = 135.78 : x
  2. Step 2: Convert to fraction form
    142.16/212.32 = 135.78/x
  3. Step 3: Cross multiply
    142.16x = 212.32 × 135.78
  4. Step 4: Simplify right side
    142.16x = 28,828.18
  5. Step 5: Solve for x
    x = 28,828.18/142.16
  6. Step 6: Final answer
    x = 202.79

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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.