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Finding the Fourth Proportional to 158.88, 238.32 and 102.24

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Solution

The fourth proportional to 158.88, 238.32 and 102.24 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.88 : 238.32 = 102.24 : x
  2. Step 2: Convert to fraction form
    158.88/238.32 = 102.24/x
  3. Step 3: Cross multiply
    158.88x = 238.32 × 102.24
  4. Step 4: Simplify right side
    158.88x = 24,365.84
  5. Step 5: Solve for x
    x = 24,365.84/158.88
  6. Step 6: Final answer
    x = 153.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.