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Finding the Fourth Proportional to 162.57, 242.45 and 138.35

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Solution

The fourth proportional to 162.57, 242.45 and 138.35 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.57 : 242.45 = 138.35 : x
  2. Step 2: Convert to fraction form
    162.57/242.45 = 138.35/x
  3. Step 3: Cross multiply
    162.57x = 242.45 × 138.35
  4. Step 4: Simplify right side
    162.57x = 33,541.75
  5. Step 5: Solve for x
    x = 33,541.75/162.57
  6. Step 6: Final answer
    x = 206.32

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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.