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Finding the Fourth Proportional to 261.23, 392.45 and 225.08

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Solution

The fourth proportional to 261.23, 392.45 and 225.08 is: 338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.23 : 392.45 = 225.08 : x
  2. Step 2: Convert to fraction form
    261.23/392.45 = 225.08/x
  3. Step 3: Cross multiply
    261.23x = 392.45 × 225.08
  4. Step 4: Simplify right side
    261.23x = 88,331.03
  5. Step 5: Solve for x
    x = 88,331.03/261.23
  6. Step 6: Final answer
    x = 338.14

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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.