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Finding the Fourth Proportional to 162.72, 242.96 and 161.52

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Solution

The fourth proportional to 162.72, 242.96 and 161.52 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.72 : 242.96 = 161.52 : x
  2. Step 2: Convert to fraction form
    162.72/242.96 = 161.52/x
  3. Step 3: Cross multiply
    162.72x = 242.96 × 161.52
  4. Step 4: Simplify right side
    162.72x = 39,242.90
  5. Step 5: Solve for x
    x = 39,242.90/162.72
  6. Step 6: Final answer
    x = 241.17

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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.