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Finding the Fourth Proportional to 205.13, 283.10 and 127.50

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Solution

The fourth proportional to 205.13, 283.10 and 127.50 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 283.10 = 127.50 : x
  2. Step 2: Convert to fraction form
    205.13/283.10 = 127.50/x
  3. Step 3: Cross multiply
    205.13x = 283.10 × 127.50
  4. Step 4: Simplify right side
    205.13x = 36,094.61
  5. Step 5: Solve for x
    x = 36,094.61/205.13
  6. Step 6: Final answer
    x = 175.96

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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.