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Finding the Fourth Proportional to 162.32, 242.38 and 144.08

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Solution

The fourth proportional to 162.32, 242.38 and 144.08 is: 215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.32 : 242.38 = 144.08 : x
  2. Step 2: Convert to fraction form
    162.32/242.38 = 144.08/x
  3. Step 3: Cross multiply
    162.32x = 242.38 × 144.08
  4. Step 4: Simplify right side
    162.32x = 34,922.11
  5. Step 5: Solve for x
    x = 34,922.11/162.32
  6. Step 6: Final answer
    x = 215.14

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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.