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Finding the Fourth Proportional to 230.75, 346.29 and 176.08

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Solution

The fourth proportional to 230.75, 346.29 and 176.08 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 346.29 = 176.08 : x
  2. Step 2: Convert to fraction form
    230.75/346.29 = 176.08/x
  3. Step 3: Cross multiply
    230.75x = 346.29 × 176.08
  4. Step 4: Simplify right side
    230.75x = 60,972.13
  5. Step 5: Solve for x
    x = 60,972.13/230.75
  6. Step 6: Final answer
    x = 264.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.