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Finding the Fourth Proportional to 162.98, 242.75 and 162.24

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Solution

The fourth proportional to 162.98, 242.75 and 162.24 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 242.75 = 162.24 : x
  2. Step 2: Convert to fraction form
    162.98/242.75 = 162.24/x
  3. Step 3: Cross multiply
    162.98x = 242.75 × 162.24
  4. Step 4: Simplify right side
    162.98x = 39,382.95
  5. Step 5: Solve for x
    x = 39,382.95/162.98
  6. Step 6: Final answer
    x = 241.65

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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.