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Finding the Fourth Proportional to 162.50, 244.97 and 160.07

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Solution

The fourth proportional to 162.50, 244.97 and 160.07 is: 241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 244.97 = 160.07 : x
  2. Step 2: Convert to fraction form
    162.50/244.97 = 160.07/x
  3. Step 3: Cross multiply
    162.50x = 244.97 × 160.07
  4. Step 4: Simplify right side
    162.50x = 39,212.35
  5. Step 5: Solve for x
    x = 39,212.35/162.50
  6. Step 6: Final answer
    x = 241.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.