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Finding the Fourth Proportional to 201.18, 302.04 and 153.12

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Solution

The fourth proportional to 201.18, 302.04 and 153.12 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 302.04 = 153.12 : x
  2. Step 2: Convert to fraction form
    201.18/302.04 = 153.12/x
  3. Step 3: Cross multiply
    201.18x = 302.04 × 153.12
  4. Step 4: Simplify right side
    201.18x = 46,248.36
  5. Step 5: Solve for x
    x = 46,248.36/201.18
  6. Step 6: Final answer
    x = 229.89

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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.