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Finding the Fourth Proportional to 555.09, 832.71 and 159.78

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Solution

The fourth proportional to 555.09, 832.71 and 159.78 is: 239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.09 : 832.71 = 159.78 : x
  2. Step 2: Convert to fraction form
    555.09/832.71 = 159.78/x
  3. Step 3: Cross multiply
    555.09x = 832.71 × 159.78
  4. Step 4: Simplify right side
    555.09x = 133,050.40
  5. Step 5: Solve for x
    x = 133,050.40/555.09
  6. Step 6: Final answer
    x = 239.69

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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.