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Finding the Fourth Proportional to 261.85, 392.80 and 79.20

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Solution

The fourth proportional to 261.85, 392.80 and 79.20 is: 118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.85 : 392.80 = 79.20 : x
  2. Step 2: Convert to fraction form
    261.85/392.80 = 79.20/x
  3. Step 3: Cross multiply
    261.85x = 392.80 × 79.20
  4. Step 4: Simplify right side
    261.85x = 31,109.76
  5. Step 5: Solve for x
    x = 31,109.76/261.85
  6. Step 6: Final answer
    x = 118.81

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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.