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Finding the Fourth Proportional to 237.60, 325.89 and 237.60

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Solution

The fourth proportional to 237.60, 325.89 and 237.60 is: 325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 325.89 = 237.60 : x
  2. Step 2: Convert to fraction form
    237.60/325.89 = 237.60/x
  3. Step 3: Cross multiply
    237.60x = 325.89 × 237.60
  4. Step 4: Simplify right side
    237.60x = 77,431.46
  5. Step 5: Solve for x
    x = 77,431.46/237.60
  6. Step 6: Final answer
    x = 325.89

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Why These Related Problems?

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