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Finding the Fourth Proportional to 220.52, 304.45 and 150.66

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Solution

The fourth proportional to 220.52, 304.45 and 150.66 is: 208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 304.45 = 150.66 : x
  2. Step 2: Convert to fraction form
    220.52/304.45 = 150.66/x
  3. Step 3: Cross multiply
    220.52x = 304.45 × 150.66
  4. Step 4: Simplify right side
    220.52x = 45,868.06
  5. Step 5: Solve for x
    x = 45,868.06/220.52
  6. Step 6: Final answer
    x = 208.00

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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.