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Finding the Fourth Proportional to 261.90, 390.24 and 233.17

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Solution

The fourth proportional to 261.90, 390.24 and 233.17 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 390.24 = 233.17 : x
  2. Step 2: Convert to fraction form
    261.90/390.24 = 233.17/x
  3. Step 3: Cross multiply
    261.90x = 390.24 × 233.17
  4. Step 4: Simplify right side
    261.90x = 90,991.29
  5. Step 5: Solve for x
    x = 90,991.29/261.90
  6. Step 6: Final answer
    x = 347.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.