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Finding the Fourth Proportional to 200.16, 276.16 and 112.83

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Solution

The fourth proportional to 200.16, 276.16 and 112.83 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 276.16 = 112.83 : x
  2. Step 2: Convert to fraction form
    200.16/276.16 = 112.83/x
  3. Step 3: Cross multiply
    200.16x = 276.16 × 112.83
  4. Step 4: Simplify right side
    200.16x = 31,159.13
  5. Step 5: Solve for x
    x = 31,159.13/200.16
  6. Step 6: Final answer
    x = 155.67

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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.