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Finding the Fourth Proportional to 162.79, 223.88 and 142.08

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Solution

The fourth proportional to 162.79, 223.88 and 142.08 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 223.88 = 142.08 : x
  2. Step 2: Convert to fraction form
    162.79/223.88 = 142.08/x
  3. Step 3: Cross multiply
    162.79x = 223.88 × 142.08
  4. Step 4: Simplify right side
    162.79x = 31,807.32
  5. Step 5: Solve for x
    x = 31,807.32/162.79
  6. Step 6: Final answer
    x = 195.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.