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Finding the Fourth Proportional to 157.66, 237.70 and 136.18

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Solution

The fourth proportional to 157.66, 237.70 and 136.18 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 237.70 = 136.18 : x
  2. Step 2: Convert to fraction form
    157.66/237.70 = 136.18/x
  3. Step 3: Cross multiply
    157.66x = 237.70 × 136.18
  4. Step 4: Simplify right side
    157.66x = 32,369.99
  5. Step 5: Solve for x
    x = 32,369.99/157.66
  6. Step 6: Final answer
    x = 205.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.