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Finding the Fourth Proportional to 153.33, 211.64 and 98.22

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Solution

The fourth proportional to 153.33, 211.64 and 98.22 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.33 : 211.64 = 98.22 : x
  2. Step 2: Convert to fraction form
    153.33/211.64 = 98.22/x
  3. Step 3: Cross multiply
    153.33x = 211.64 × 98.22
  4. Step 4: Simplify right side
    153.33x = 20,786.22
  5. Step 5: Solve for x
    x = 20,786.22/153.33
  6. Step 6: Final answer
    x = 135.57

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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.