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Finding the Fourth Proportional to 232.99, 350.87 and 175.64

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Solution

The fourth proportional to 232.99, 350.87 and 175.64 is: 264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.99 : 350.87 = 175.64 : x
  2. Step 2: Convert to fraction form
    232.99/350.87 = 175.64/x
  3. Step 3: Cross multiply
    232.99x = 350.87 × 175.64
  4. Step 4: Simplify right side
    232.99x = 61,624.17
  5. Step 5: Solve for x
    x = 61,624.17/232.99
  6. Step 6: Final answer
    x = 264.50

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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.