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Finding the Fourth Proportional to 153.12, 210.72 and 142.56

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Solution

The fourth proportional to 153.12, 210.72 and 142.56 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 210.72 = 142.56 : x
  2. Step 2: Convert to fraction form
    153.12/210.72 = 142.56/x
  3. Step 3: Cross multiply
    153.12x = 210.72 × 142.56
  4. Step 4: Simplify right side
    153.12x = 30,040.24
  5. Step 5: Solve for x
    x = 30,040.24/153.12
  6. Step 6: Final answer
    x = 196.19

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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.