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Finding the Fourth Proportional to 295.26, 407.24 and 202.20

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Solution

The fourth proportional to 295.26, 407.24 and 202.20 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.26 : 407.24 = 202.20 : x
  2. Step 2: Convert to fraction form
    295.26/407.24 = 202.20/x
  3. Step 3: Cross multiply
    295.26x = 407.24 × 202.20
  4. Step 4: Simplify right side
    295.26x = 82,342.92
  5. Step 5: Solve for x
    x = 82,342.92/295.26
  6. Step 6: Final answer
    x = 278.88

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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.