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Finding the Fourth Proportional to 250.26, 345.40 and 146.76

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Solution

The fourth proportional to 250.26, 345.40 and 146.76 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.26 : 345.40 = 146.76 : x
  2. Step 2: Convert to fraction form
    250.26/345.40 = 146.76/x
  3. Step 3: Cross multiply
    250.26x = 345.40 × 146.76
  4. Step 4: Simplify right side
    250.26x = 50,690.90
  5. Step 5: Solve for x
    x = 50,690.90/250.26
  6. Step 6: Final answer
    x = 202.55

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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.