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Finding the Fourth Proportional to 500.06, 750.19 and 175.65

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Solution

The fourth proportional to 500.06, 750.19 and 175.65 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 750.19 = 175.65 : x
  2. Step 2: Convert to fraction form
    500.06/750.19 = 175.65/x
  3. Step 3: Cross multiply
    500.06x = 750.19 × 175.65
  4. Step 4: Simplify right side
    500.06x = 131,772.31
  5. Step 5: Solve for x
    x = 131,772.31/500.06
  6. Step 6: Final answer
    x = 263.51

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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.