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Finding the Fourth Proportional to 261.24, 359.22 and 232.08

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Solution

The fourth proportional to 261.24, 359.22 and 232.08 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 359.22 = 232.08 : x
  2. Step 2: Convert to fraction form
    261.24/359.22 = 232.08/x
  3. Step 3: Cross multiply
    261.24x = 359.22 × 232.08
  4. Step 4: Simplify right side
    261.24x = 83,367.78
  5. Step 5: Solve for x
    x = 83,367.78/261.24
  6. Step 6: Final answer
    x = 319.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.