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Finding the Fourth Proportional to 220.95, 304.76 and 142.29

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Solution

The fourth proportional to 220.95, 304.76 and 142.29 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.95 : 304.76 = 142.29 : x
  2. Step 2: Convert to fraction form
    220.95/304.76 = 142.29/x
  3. Step 3: Cross multiply
    220.95x = 304.76 × 142.29
  4. Step 4: Simplify right side
    220.95x = 43,364.71
  5. Step 5: Solve for x
    x = 43,364.71/220.95
  6. Step 6: Final answer
    x = 196.26

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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.