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Finding the Fourth Proportional to 145.90, 218.08 and 133.66

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Solution

The fourth proportional to 145.90, 218.08 and 133.66 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 218.08 = 133.66 : x
  2. Step 2: Convert to fraction form
    145.90/218.08 = 133.66/x
  3. Step 3: Cross multiply
    145.90x = 218.08 × 133.66
  4. Step 4: Simplify right side
    145.90x = 29,148.57
  5. Step 5: Solve for x
    x = 29,148.57/145.90
  6. Step 6: Final answer
    x = 199.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.