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Finding the Fourth Proportional to 157.68, 238.14 and 157.68

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Solution

The fourth proportional to 157.68, 238.14 and 157.68 is: 238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 238.14 = 157.68 : x
  2. Step 2: Convert to fraction form
    157.68/238.14 = 157.68/x
  3. Step 3: Cross multiply
    157.68x = 238.14 × 157.68
  4. Step 4: Simplify right side
    157.68x = 37,549.92
  5. Step 5: Solve for x
    x = 37,549.92/157.68
  6. Step 6: Final answer
    x = 238.14

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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.