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Finding the Fourth Proportional to 200.92, 277.53 and 148.57

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Solution

The fourth proportional to 200.92, 277.53 and 148.57 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.53 = 148.57 : x
  2. Step 2: Convert to fraction form
    200.92/277.53 = 148.57/x
  3. Step 3: Cross multiply
    200.92x = 277.53 × 148.57
  4. Step 4: Simplify right side
    200.92x = 41,232.63
  5. Step 5: Solve for x
    x = 41,232.63/200.92
  6. Step 6: Final answer
    x = 205.22

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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.