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Finding the Fourth Proportional to 176.15, 263.03 and 166.02

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Solution

The fourth proportional to 176.15, 263.03 and 166.02 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 263.03 = 166.02 : x
  2. Step 2: Convert to fraction form
    176.15/263.03 = 166.02/x
  3. Step 3: Cross multiply
    176.15x = 263.03 × 166.02
  4. Step 4: Simplify right side
    176.15x = 43,667.41
  5. Step 5: Solve for x
    x = 43,667.41/176.15
  6. Step 6: Final answer
    x = 247.91

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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.