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Finding the Fourth Proportional to 171.99, 257.67 and 145.08

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Solution

The fourth proportional to 171.99, 257.67 and 145.08 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.99 : 257.67 = 145.08 : x
  2. Step 2: Convert to fraction form
    171.99/257.67 = 145.08/x
  3. Step 3: Cross multiply
    171.99x = 257.67 × 145.08
  4. Step 4: Simplify right side
    171.99x = 37,382.76
  5. Step 5: Solve for x
    x = 37,382.76/171.99
  6. Step 6: Final answer
    x = 217.35

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