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Finding the Fourth Proportional to 203.42, 280.68 and 133.40

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Solution

The fourth proportional to 203.42, 280.68 and 133.40 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 280.68 = 133.40 : x
  2. Step 2: Convert to fraction form
    203.42/280.68 = 133.40/x
  3. Step 3: Cross multiply
    203.42x = 280.68 × 133.40
  4. Step 4: Simplify right side
    203.42x = 37,442.71
  5. Step 5: Solve for x
    x = 37,442.71/203.42
  6. Step 6: Final answer
    x = 184.07

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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.