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Finding the Fourth Proportional to 162.89, 243.03 and 145.58

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Solution

The fourth proportional to 162.89, 243.03 and 145.58 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.89 : 243.03 = 145.58 : x
  2. Step 2: Convert to fraction form
    162.89/243.03 = 145.58/x
  3. Step 3: Cross multiply
    162.89x = 243.03 × 145.58
  4. Step 4: Simplify right side
    162.89x = 35,381.01
  5. Step 5: Solve for x
    x = 35,381.01/162.89
  6. Step 6: Final answer
    x = 217.20

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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.