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Finding the Fourth Proportional to 141.78, 211.06 and 135.14

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Solution

The fourth proportional to 141.78, 211.06 and 135.14 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 211.06 = 135.14 : x
  2. Step 2: Convert to fraction form
    141.78/211.06 = 135.14/x
  3. Step 3: Cross multiply
    141.78x = 211.06 × 135.14
  4. Step 4: Simplify right side
    141.78x = 28,522.65
  5. Step 5: Solve for x
    x = 28,522.65/141.78
  6. Step 6: Final answer
    x = 201.18

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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.