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Finding the Fourth Proportional to 220.16, 304.61 and 189.02

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Solution

The fourth proportional to 220.16, 304.61 and 189.02 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.16 : 304.61 = 189.02 : x
  2. Step 2: Convert to fraction form
    220.16/304.61 = 189.02/x
  3. Step 3: Cross multiply
    220.16x = 304.61 × 189.02
  4. Step 4: Simplify right side
    220.16x = 57,574.91
  5. Step 5: Solve for x
    x = 57,574.91/220.16
  6. Step 6: Final answer
    x = 261.52

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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.