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Finding the Fourth Proportional to 261.76, 392.76 and 117.46

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Solution

The fourth proportional to 261.76, 392.76 and 117.46 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 392.76 = 117.46 : x
  2. Step 2: Convert to fraction form
    261.76/392.76 = 117.46/x
  3. Step 3: Cross multiply
    261.76x = 392.76 × 117.46
  4. Step 4: Simplify right side
    261.76x = 46,133.59
  5. Step 5: Solve for x
    x = 46,133.59/261.76
  6. Step 6: Final answer
    x = 176.24

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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.