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Finding the Fourth Proportional to 153.96, 212.16 and 140.08

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Solution

The fourth proportional to 153.96, 212.16 and 140.08 is: 193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 212.16 = 140.08 : x
  2. Step 2: Convert to fraction form
    153.96/212.16 = 140.08/x
  3. Step 3: Cross multiply
    153.96x = 212.16 × 140.08
  4. Step 4: Simplify right side
    153.96x = 29,719.37
  5. Step 5: Solve for x
    x = 29,719.37/153.96
  6. Step 6: Final answer
    x = 193.03

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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.