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Finding the Fourth Proportional to 157.34, 217.14 and 135.56

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Solution

The fourth proportional to 157.34, 217.14 and 135.56 is: 187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 217.14 = 135.56 : x
  2. Step 2: Convert to fraction form
    157.34/217.14 = 135.56/x
  3. Step 3: Cross multiply
    157.34x = 217.14 × 135.56
  4. Step 4: Simplify right side
    157.34x = 29,435.50
  5. Step 5: Solve for x
    x = 29,435.50/157.34
  6. Step 6: Final answer
    x = 187.08

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Why These Related Problems?

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