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Finding the Fourth Proportional to 555.81, 833.84 and 165.79

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Solution

The fourth proportional to 555.81, 833.84 and 165.79 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.81 : 833.84 = 165.79 : x
  2. Step 2: Convert to fraction form
    555.81/833.84 = 165.79/x
  3. Step 3: Cross multiply
    555.81x = 833.84 × 165.79
  4. Step 4: Simplify right side
    555.81x = 138,242.33
  5. Step 5: Solve for x
    x = 138,242.33/555.81
  6. Step 6: Final answer
    x = 248.72

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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.