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Finding the Fourth Proportional to 157.29, 216.99 and 98.30

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Solution

The fourth proportional to 157.29, 216.99 and 98.30 is: 135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 216.99 = 98.30 : x
  2. Step 2: Convert to fraction form
    157.29/216.99 = 98.30/x
  3. Step 3: Cross multiply
    157.29x = 216.99 × 98.30
  4. Step 4: Simplify right side
    157.29x = 21,330.49
  5. Step 5: Solve for x
    x = 21,330.49/157.29
  6. Step 6: Final answer
    x = 135.62

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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.