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Finding the Fourth Proportional to 200.07, 276.13 and 112.74

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Solution

The fourth proportional to 200.07, 276.13 and 112.74 is: 155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 276.13 = 112.74 : x
  2. Step 2: Convert to fraction form
    200.07/276.13 = 112.74/x
  3. Step 3: Cross multiply
    200.07x = 276.13 × 112.74
  4. Step 4: Simplify right side
    200.07x = 31,130.92
  5. Step 5: Solve for x
    x = 31,130.92/200.07
  6. Step 6: Final answer
    x = 155.60

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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.