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Finding the Fourth Proportional to 145.74, 217.55 and 133.57

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Solution

The fourth proportional to 145.74, 217.55 and 133.57 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 217.55 = 133.57 : x
  2. Step 2: Convert to fraction form
    145.74/217.55 = 133.57/x
  3. Step 3: Cross multiply
    145.74x = 217.55 × 133.57
  4. Step 4: Simplify right side
    145.74x = 29,058.26
  5. Step 5: Solve for x
    x = 29,058.26/145.74
  6. Step 6: Final answer
    x = 199.38

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