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Finding the Fourth Proportional to 147.42, 204.38 and 139.22

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Solution

The fourth proportional to 147.42, 204.38 and 139.22 is: 193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 204.38 = 139.22 : x
  2. Step 2: Convert to fraction form
    147.42/204.38 = 139.22/x
  3. Step 3: Cross multiply
    147.42x = 204.38 × 139.22
  4. Step 4: Simplify right side
    147.42x = 28,452.07
  5. Step 5: Solve for x
    x = 28,452.07/147.42
  6. Step 6: Final answer
    x = 193.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.