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Finding the Fourth Proportional to 176.06, 263.04 and 170

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Solution

The fourth proportional to 176.06, 263.04 and 170 is: 253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 263.04 = 170 : x
  2. Step 2: Convert to fraction form
    176.06/263.04 = 170/x
  3. Step 3: Cross multiply
    176.06x = 263.04 × 170
  4. Step 4: Simplify right side
    176.06x = 44,716.80
  5. Step 5: Solve for x
    x = 44,716.80/176.06
  6. Step 6: Final answer
    x = 253.99

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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.