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Finding the Fourth Proportional to 176.01, 263.10 and 137.04

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Solution

The fourth proportional to 176.01, 263.10 and 137.04 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.01 : 263.10 = 137.04 : x
  2. Step 2: Convert to fraction form
    176.01/263.10 = 137.04/x
  3. Step 3: Cross multiply
    176.01x = 263.10 × 137.04
  4. Step 4: Simplify right side
    176.01x = 36,055.22
  5. Step 5: Solve for x
    x = 36,055.22/176.01
  6. Step 6: Final answer
    x = 204.85

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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.