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Finding the Fourth Proportional to 147.78, 204.12 and 118.89

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Solution

The fourth proportional to 147.78, 204.12 and 118.89 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 204.12 = 118.89 : x
  2. Step 2: Convert to fraction form
    147.78/204.12 = 118.89/x
  3. Step 3: Cross multiply
    147.78x = 204.12 × 118.89
  4. Step 4: Simplify right side
    147.78x = 24,267.83
  5. Step 5: Solve for x
    x = 24,267.83/147.78
  6. Step 6: Final answer
    x = 164.22

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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.