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Finding the Fourth Proportional to 142.29, 212.04 and 141.48

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Solution

The fourth proportional to 142.29, 212.04 and 141.48 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 212.04 = 141.48 : x
  2. Step 2: Convert to fraction form
    142.29/212.04 = 141.48/x
  3. Step 3: Cross multiply
    142.29x = 212.04 × 141.48
  4. Step 4: Simplify right side
    142.29x = 29,999.42
  5. Step 5: Solve for x
    x = 29,999.42/142.29
  6. Step 6: Final answer
    x = 210.83

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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.