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Finding the Fourth Proportional to 187.72, 258.90 and 114.01

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Solution

The fourth proportional to 187.72, 258.90 and 114.01 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 258.90 = 114.01 : x
  2. Step 2: Convert to fraction form
    187.72/258.90 = 114.01/x
  3. Step 3: Cross multiply
    187.72x = 258.90 × 114.01
  4. Step 4: Simplify right side
    187.72x = 29,516.11
  5. Step 5: Solve for x
    x = 29,516.11/187.72
  6. Step 6: Final answer
    x = 157.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.