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Finding the Fourth Proportional to 147.78, 204.17 and 111.06

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Solution

The fourth proportional to 147.78, 204.17 and 111.06 is: 153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 204.17 = 111.06 : x
  2. Step 2: Convert to fraction form
    147.78/204.17 = 111.06/x
  3. Step 3: Cross multiply
    147.78x = 204.17 × 111.06
  4. Step 4: Simplify right side
    147.78x = 22,674.38
  5. Step 5: Solve for x
    x = 22,674.38/147.78
  6. Step 6: Final answer
    x = 153.44

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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.