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Finding the Fourth Proportional to 250, 345 and 151.77

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Solution

The fourth proportional to 250, 345 and 151.77 is: 209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 345 = 151.77 : x
  2. Step 2: Convert to fraction form
    250/345 = 151.77/x
  3. Step 3: Cross multiply
    250x = 345 × 151.77
  4. Step 4: Simplify right side
    250x = 52,360.65
  5. Step 5: Solve for x
    x = 52,360.65/250
  6. Step 6: Final answer
    x = 209.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.