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Finding the Fourth Proportional to 232.64, 350.48 and 176

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Solution

The fourth proportional to 232.64, 350.48 and 176 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 350.48 = 176 : x
  2. Step 2: Convert to fraction form
    232.64/350.48 = 176/x
  3. Step 3: Cross multiply
    232.64x = 350.48 × 176
  4. Step 4: Simplify right side
    232.64x = 61,684.48
  5. Step 5: Solve for x
    x = 61,684.48/232.64
  6. Step 6: Final answer
    x = 265.15

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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.