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Finding the Fourth Proportional to 162.86, 243.78 and 146.46

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Solution

The fourth proportional to 162.86, 243.78 and 146.46 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.86 : 243.78 = 146.46 : x
  2. Step 2: Convert to fraction form
    162.86/243.78 = 146.46/x
  3. Step 3: Cross multiply
    162.86x = 243.78 × 146.46
  4. Step 4: Simplify right side
    162.86x = 35,703.01
  5. Step 5: Solve for x
    x = 35,703.01/162.86
  6. Step 6: Final answer
    x = 219.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.