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Finding the Fourth Proportional to 157.44, 237.24 and 156.12

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Solution

The fourth proportional to 157.44, 237.24 and 156.12 is: 235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 237.24 = 156.12 : x
  2. Step 2: Convert to fraction form
    157.44/237.24 = 156.12/x
  3. Step 3: Cross multiply
    157.44x = 237.24 × 156.12
  4. Step 4: Simplify right side
    157.44x = 37,037.91
  5. Step 5: Solve for x
    x = 37,037.91/157.44
  6. Step 6: Final answer
    x = 235.25

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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.