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Finding the Fourth Proportional to 157.58, 217.55 and 141.17

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Solution

The fourth proportional to 157.58, 217.55 and 141.17 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.58 : 217.55 = 141.17 : x
  2. Step 2: Convert to fraction form
    157.58/217.55 = 141.17/x
  3. Step 3: Cross multiply
    157.58x = 217.55 × 141.17
  4. Step 4: Simplify right side
    157.58x = 30,709.74
  5. Step 5: Solve for x
    x = 30,709.74/157.58
  6. Step 6: Final answer
    x = 194.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.