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Finding the Fourth Proportional to 176.59, 263.16 and 170.79

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Solution

The fourth proportional to 176.59, 263.16 and 170.79 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.59 : 263.16 = 170.79 : x
  2. Step 2: Convert to fraction form
    176.59/263.16 = 170.79/x
  3. Step 3: Cross multiply
    176.59x = 263.16 × 170.79
  4. Step 4: Simplify right side
    176.59x = 44,943.35
  5. Step 5: Solve for x
    x = 44,943.35/176.59
  6. Step 6: Final answer
    x = 254.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.