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Finding the Fourth Proportional to 272.24, 407.55 and 231.74

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Solution

The fourth proportional to 272.24, 407.55 and 231.74 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 407.55 = 231.74 : x
  2. Step 2: Convert to fraction form
    272.24/407.55 = 231.74/x
  3. Step 3: Cross multiply
    272.24x = 407.55 × 231.74
  4. Step 4: Simplify right side
    272.24x = 94,445.64
  5. Step 5: Solve for x
    x = 94,445.64/272.24
  6. Step 6: Final answer
    x = 346.92

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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.