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Finding the Fourth Proportional to 555.34, 833.10 and 170.50

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Solution

The fourth proportional to 555.34, 833.10 and 170.50 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 833.10 = 170.50 : x
  2. Step 2: Convert to fraction form
    555.34/833.10 = 170.50/x
  3. Step 3: Cross multiply
    555.34x = 833.10 × 170.50
  4. Step 4: Simplify right side
    555.34x = 142,043.55
  5. Step 5: Solve for x
    x = 142,043.55/555.34
  6. Step 6: Final answer
    x = 255.78

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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.