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Finding the Fourth Proportional to 555.90, 833.76 and 165.90

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Solution

The fourth proportional to 555.90, 833.76 and 165.90 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.90 : 833.76 = 165.90 : x
  2. Step 2: Convert to fraction form
    555.90/833.76 = 165.90/x
  3. Step 3: Cross multiply
    555.90x = 833.76 × 165.90
  4. Step 4: Simplify right side
    555.90x = 138,320.78
  5. Step 5: Solve for x
    x = 138,320.78/555.90
  6. Step 6: Final answer
    x = 248.82

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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.