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Finding the Fourth Proportional to 231.52, 347 and 177.64

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Solution

The fourth proportional to 231.52, 347 and 177.64 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.52 : 347 = 177.64 : x
  2. Step 2: Convert to fraction form
    231.52/347 = 177.64/x
  3. Step 3: Cross multiply
    231.52x = 347 × 177.64
  4. Step 4: Simplify right side
    231.52x = 61,641.08
  5. Step 5: Solve for x
    x = 61,641.08/231.52
  6. Step 6: Final answer
    x = 266.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.