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Finding the Fourth Proportional to 176.53, 266.14 and 166.09

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Solution

The fourth proportional to 176.53, 266.14 and 166.09 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 266.14 = 166.09 : x
  2. Step 2: Convert to fraction form
    176.53/266.14 = 166.09/x
  3. Step 3: Cross multiply
    176.53x = 266.14 × 166.09
  4. Step 4: Simplify right side
    176.53x = 44,203.19
  5. Step 5: Solve for x
    x = 44,203.19/176.53
  6. Step 6: Final answer
    x = 250.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.