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Finding the Fourth Proportional to 162.96, 243.08 and 148.98

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Solution

The fourth proportional to 162.96, 243.08 and 148.98 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 243.08 = 148.98 : x
  2. Step 2: Convert to fraction form
    162.96/243.08 = 148.98/x
  3. Step 3: Cross multiply
    162.96x = 243.08 × 148.98
  4. Step 4: Simplify right side
    162.96x = 36,213.31
  5. Step 5: Solve for x
    x = 36,213.31/162.96
  6. Step 6: Final answer
    x = 222.22

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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.