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Finding the Fourth Proportional to 203.34, 305.07 and 134.91

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Solution

The fourth proportional to 203.34, 305.07 and 134.91 is: 202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 305.07 = 134.91 : x
  2. Step 2: Convert to fraction form
    203.34/305.07 = 134.91/x
  3. Step 3: Cross multiply
    203.34x = 305.07 × 134.91
  4. Step 4: Simplify right side
    203.34x = 41,156.99
  5. Step 5: Solve for x
    x = 41,156.99/203.34
  6. Step 6: Final answer
    x = 202.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.