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Finding the Fourth Proportional to 170.24, 253.96 and 162.50

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Solution

The fourth proportional to 170.24, 253.96 and 162.50 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 253.96 = 162.50 : x
  2. Step 2: Convert to fraction form
    170.24/253.96 = 162.50/x
  3. Step 3: Cross multiply
    170.24x = 253.96 × 162.50
  4. Step 4: Simplify right side
    170.24x = 41,268.50
  5. Step 5: Solve for x
    x = 41,268.50/170.24
  6. Step 6: Final answer
    x = 242.41

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Why These Related Problems?

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