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Finding the Fourth Proportional to 200.92, 277.64 and 154.24

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Solution

The fourth proportional to 200.92, 277.64 and 154.24 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.64 = 154.24 : x
  2. Step 2: Convert to fraction form
    200.92/277.64 = 154.24/x
  3. Step 3: Cross multiply
    200.92x = 277.64 × 154.24
  4. Step 4: Simplify right side
    200.92x = 42,823.19
  5. Step 5: Solve for x
    x = 42,823.19/200.92
  6. Step 6: Final answer
    x = 213.14

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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.