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Finding the Fourth Proportional to 551.06, 826.65 and 185.76

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Solution

The fourth proportional to 551.06, 826.65 and 185.76 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.06 : 826.65 = 185.76 : x
  2. Step 2: Convert to fraction form
    551.06/826.65 = 185.76/x
  3. Step 3: Cross multiply
    551.06x = 826.65 × 185.76
  4. Step 4: Simplify right side
    551.06x = 153,558.50
  5. Step 5: Solve for x
    x = 153,558.50/551.06
  6. Step 6: Final answer
    x = 278.66

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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.