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Finding the Fourth Proportional to 261.69, 392.27 and 146.19

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Solution

The fourth proportional to 261.69, 392.27 and 146.19 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 392.27 = 146.19 : x
  2. Step 2: Convert to fraction form
    261.69/392.27 = 146.19/x
  3. Step 3: Cross multiply
    261.69x = 392.27 × 146.19
  4. Step 4: Simplify right side
    261.69x = 57,344.85
  5. Step 5: Solve for x
    x = 57,344.85/261.69
  6. Step 6: Final answer
    x = 219.14

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Why These Related Problems?

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