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Finding the Fourth Proportional to 142.84, 213.21 and 130.66

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Solution

The fourth proportional to 142.84, 213.21 and 130.66 is: 195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 213.21 = 130.66 : x
  2. Step 2: Convert to fraction form
    142.84/213.21 = 130.66/x
  3. Step 3: Cross multiply
    142.84x = 213.21 × 130.66
  4. Step 4: Simplify right side
    142.84x = 27,859.17
  5. Step 5: Solve for x
    x = 27,859.17/142.84
  6. Step 6: Final answer
    x = 195.04

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