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Finding the Fourth Proportional to 200.46, 276.14 and 145.04

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Solution

The fourth proportional to 200.46, 276.14 and 145.04 is: 199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 276.14 = 145.04 : x
  2. Step 2: Convert to fraction form
    200.46/276.14 = 145.04/x
  3. Step 3: Cross multiply
    200.46x = 276.14 × 145.04
  4. Step 4: Simplify right side
    200.46x = 40,051.35
  5. Step 5: Solve for x
    x = 40,051.35/200.46
  6. Step 6: Final answer
    x = 199.80

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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.