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Finding the Fourth Proportional to 157.34, 235.49 and 96.18

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Solution

The fourth proportional to 157.34, 235.49 and 96.18 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 235.49 = 96.18 : x
  2. Step 2: Convert to fraction form
    157.34/235.49 = 96.18/x
  3. Step 3: Cross multiply
    157.34x = 235.49 × 96.18
  4. Step 4: Simplify right side
    157.34x = 22,648.95
  5. Step 5: Solve for x
    x = 22,648.95/157.34
  6. Step 6: Final answer
    x = 143.95

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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.