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Finding the Fourth Proportional to 153.63, 212.42 and 139.83

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Solution

The fourth proportional to 153.63, 212.42 and 139.83 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 212.42 = 139.83 : x
  2. Step 2: Convert to fraction form
    153.63/212.42 = 139.83/x
  3. Step 3: Cross multiply
    153.63x = 212.42 × 139.83
  4. Step 4: Simplify right side
    153.63x = 29,702.24
  5. Step 5: Solve for x
    x = 29,702.24/153.63
  6. Step 6: Final answer
    x = 193.34

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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.