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Finding the Fourth Proportional to 157.12, 215.86 and 141.52

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Solution

The fourth proportional to 157.12, 215.86 and 141.52 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.12 : 215.86 = 141.52 : x
  2. Step 2: Convert to fraction form
    157.12/215.86 = 141.52/x
  3. Step 3: Cross multiply
    157.12x = 215.86 × 141.52
  4. Step 4: Simplify right side
    157.12x = 30,548.51
  5. Step 5: Solve for x
    x = 30,548.51/157.12
  6. Step 6: Final answer
    x = 194.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.