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Finding the Fourth Proportional to 561.46, 842.10 and 176.80

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Solution

The fourth proportional to 561.46, 842.10 and 176.80 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 842.10 = 176.80 : x
  2. Step 2: Convert to fraction form
    561.46/842.10 = 176.80/x
  3. Step 3: Cross multiply
    561.46x = 842.10 × 176.80
  4. Step 4: Simplify right side
    561.46x = 148,883.28
  5. Step 5: Solve for x
    x = 148,883.28/561.46
  6. Step 6: Final answer
    x = 265.17

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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.