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Finding the Fourth Proportional to 275.42, 413 and 136.48

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Solution

The fourth proportional to 275.42, 413 and 136.48 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 413 = 136.48 : x
  2. Step 2: Convert to fraction form
    275.42/413 = 136.48/x
  3. Step 3: Cross multiply
    275.42x = 413 × 136.48
  4. Step 4: Simplify right side
    275.42x = 56,366.24
  5. Step 5: Solve for x
    x = 56,366.24/275.42
  6. Step 6: Final answer
    x = 204.66

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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.