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Finding the Fourth Proportional to 555.82, 833.72 and 171.06

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Solution

The fourth proportional to 555.82, 833.72 and 171.06 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.82 : 833.72 = 171.06 : x
  2. Step 2: Convert to fraction form
    555.82/833.72 = 171.06/x
  3. Step 3: Cross multiply
    555.82x = 833.72 × 171.06
  4. Step 4: Simplify right side
    555.82x = 142,616.14
  5. Step 5: Solve for x
    x = 142,616.14/555.82
  6. Step 6: Final answer
    x = 256.59

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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.