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Finding the Fourth Proportional to 157.14, 235.38 and 88.70

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Solution

The fourth proportional to 157.14, 235.38 and 88.70 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 235.38 = 88.70 : x
  2. Step 2: Convert to fraction form
    157.14/235.38 = 88.70/x
  3. Step 3: Cross multiply
    157.14x = 235.38 × 88.70
  4. Step 4: Simplify right side
    157.14x = 20,878.21
  5. Step 5: Solve for x
    x = 20,878.21/157.14
  6. Step 6: Final answer
    x = 132.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.