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Finding the Fourth Proportional to 261.68, 392.29 and 223.41

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Solution

The fourth proportional to 261.68, 392.29 and 223.41 is: 334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 392.29 = 223.41 : x
  2. Step 2: Convert to fraction form
    261.68/392.29 = 223.41/x
  3. Step 3: Cross multiply
    261.68x = 392.29 × 223.41
  4. Step 4: Simplify right side
    261.68x = 87,640.53
  5. Step 5: Solve for x
    x = 87,640.53/261.68
  6. Step 6: Final answer
    x = 334.91

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