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Finding the Fourth Proportional to 145.90, 217.67 and 137.80

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Solution

The fourth proportional to 145.90, 217.67 and 137.80 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 217.67 = 137.80 : x
  2. Step 2: Convert to fraction form
    145.90/217.67 = 137.80/x
  3. Step 3: Cross multiply
    145.90x = 217.67 × 137.80
  4. Step 4: Simplify right side
    145.90x = 29,994.93
  5. Step 5: Solve for x
    x = 29,994.93/145.90
  6. Step 6: Final answer
    x = 205.59

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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.