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Finding the Fourth Proportional to 171.61, 257.72 and 162.50

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Solution

The fourth proportional to 171.61, 257.72 and 162.50 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.61 : 257.72 = 162.50 : x
  2. Step 2: Convert to fraction form
    171.61/257.72 = 162.50/x
  3. Step 3: Cross multiply
    171.61x = 257.72 × 162.50
  4. Step 4: Simplify right side
    171.61x = 41,877.40
  5. Step 5: Solve for x
    x = 41,877.40/171.61
  6. Step 6: Final answer
    x = 244.03

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Why These Related Problems?

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