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Finding the Fourth Proportional to 153.21, 229.56 and 99.00

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Solution

The fourth proportional to 153.21, 229.56 and 99.00 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.21 : 229.56 = 99.00 : x
  2. Step 2: Convert to fraction form
    153.21/229.56 = 99.00/x
  3. Step 3: Cross multiply
    153.21x = 229.56 × 99.00
  4. Step 4: Simplify right side
    153.21x = 22,725.95
  5. Step 5: Solve for x
    x = 22,725.95/153.21
  6. Step 6: Final answer
    x = 148.33

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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.