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Finding the Fourth Proportional to 171.59, 257.00 and 152.12

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Solution

The fourth proportional to 171.59, 257.00 and 152.12 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.59 : 257.00 = 152.12 : x
  2. Step 2: Convert to fraction form
    171.59/257.00 = 152.12/x
  3. Step 3: Cross multiply
    171.59x = 257.00 × 152.12
  4. Step 4: Simplify right side
    171.59x = 39,094.72
  5. Step 5: Solve for x
    x = 39,094.72/171.59
  6. Step 6: Final answer
    x = 227.84

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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.