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Finding the Fourth Proportional to 162.03, 223.40 and 140.16

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Solution

The fourth proportional to 162.03, 223.40 and 140.16 is: 193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.03 : 223.40 = 140.16 : x
  2. Step 2: Convert to fraction form
    162.03/223.40 = 140.16/x
  3. Step 3: Cross multiply
    162.03x = 223.40 × 140.16
  4. Step 4: Simplify right side
    162.03x = 31,311.74
  5. Step 5: Solve for x
    x = 31,311.74/162.03
  6. Step 6: Final answer
    x = 193.25

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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.