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Finding the Fourth Proportional to 261.40, 392.24 and 145.86

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Solution

The fourth proportional to 261.40, 392.24 and 145.86 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 392.24 = 145.86 : x
  2. Step 2: Convert to fraction form
    261.40/392.24 = 145.86/x
  3. Step 3: Cross multiply
    261.40x = 392.24 × 145.86
  4. Step 4: Simplify right side
    261.40x = 57,212.13
  5. Step 5: Solve for x
    x = 57,212.13/261.40
  6. Step 6: Final answer
    x = 218.87

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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.