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Finding the Fourth Proportional to 261.66, 392.22 and 117.30

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Solution

The fourth proportional to 261.66, 392.22 and 117.30 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 392.22 = 117.30 : x
  2. Step 2: Convert to fraction form
    261.66/392.22 = 117.30/x
  3. Step 3: Cross multiply
    261.66x = 392.22 × 117.30
  4. Step 4: Simplify right side
    261.66x = 46,007.41
  5. Step 5: Solve for x
    x = 46,007.41/261.66
  6. Step 6: Final answer
    x = 175.83

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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.