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Finding the Fourth Proportional to 140.70, 212.25 and 135.34

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Solution

The fourth proportional to 140.70, 212.25 and 135.34 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 212.25 = 135.34 : x
  2. Step 2: Convert to fraction form
    140.70/212.25 = 135.34/x
  3. Step 3: Cross multiply
    140.70x = 212.25 × 135.34
  4. Step 4: Simplify right side
    140.70x = 28,725.89
  5. Step 5: Solve for x
    x = 28,725.89/140.70
  6. Step 6: Final answer
    x = 204.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.