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Finding the Fourth Proportional to 162.62, 242.33 and 162.35

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Solution

The fourth proportional to 162.62, 242.33 and 162.35 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.62 : 242.33 = 162.35 : x
  2. Step 2: Convert to fraction form
    162.62/242.33 = 162.35/x
  3. Step 3: Cross multiply
    162.62x = 242.33 × 162.35
  4. Step 4: Simplify right side
    162.62x = 39,341.47
  5. Step 5: Solve for x
    x = 39,341.47/162.62
  6. Step 6: Final answer
    x = 241.93

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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.