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Finding the Fourth Proportional to 142.56, 214.20 and 134.64

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Solution

The fourth proportional to 142.56, 214.20 and 134.64 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 214.20 = 134.64 : x
  2. Step 2: Convert to fraction form
    142.56/214.20 = 134.64/x
  3. Step 3: Cross multiply
    142.56x = 214.20 × 134.64
  4. Step 4: Simplify right side
    142.56x = 28,839.89
  5. Step 5: Solve for x
    x = 28,839.89/142.56
  6. Step 6: Final answer
    x = 202.30

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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.