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Finding the Fourth Proportional to 187.59, 258.90 and 165.72

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Solution

The fourth proportional to 187.59, 258.90 and 165.72 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 258.90 = 165.72 : x
  2. Step 2: Convert to fraction form
    187.59/258.90 = 165.72/x
  3. Step 3: Cross multiply
    187.59x = 258.90 × 165.72
  4. Step 4: Simplify right side
    187.59x = 42,904.91
  5. Step 5: Solve for x
    x = 42,904.91/187.59
  6. Step 6: Final answer
    x = 228.72

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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.