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Finding the Fourth Proportional to 203.66, 280.95 and 145.47

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Solution

The fourth proportional to 203.66, 280.95 and 145.47 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 280.95 = 145.47 : x
  2. Step 2: Convert to fraction form
    203.66/280.95 = 145.47/x
  3. Step 3: Cross multiply
    203.66x = 280.95 × 145.47
  4. Step 4: Simplify right side
    203.66x = 40,870.30
  5. Step 5: Solve for x
    x = 40,870.30/203.66
  6. Step 6: Final answer
    x = 200.68

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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.