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Finding the Fourth Proportional to 158.88, 217.66 and 153.03

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Solution

The fourth proportional to 158.88, 217.66 and 153.03 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.88 : 217.66 = 153.03 : x
  2. Step 2: Convert to fraction form
    158.88/217.66 = 153.03/x
  3. Step 3: Cross multiply
    158.88x = 217.66 × 153.03
  4. Step 4: Simplify right side
    158.88x = 33,308.51
  5. Step 5: Solve for x
    x = 33,308.51/158.88
  6. Step 6: Final answer
    x = 209.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.