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Finding the Fourth Proportional to 153.74, 212.38 and 133.40

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Solution

The fourth proportional to 153.74, 212.38 and 133.40 is: 184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 212.38 = 133.40 : x
  2. Step 2: Convert to fraction form
    153.74/212.38 = 133.40/x
  3. Step 3: Cross multiply
    153.74x = 212.38 × 133.40
  4. Step 4: Simplify right side
    153.74x = 28,331.49
  5. Step 5: Solve for x
    x = 28,331.49/153.74
  6. Step 6: Final answer
    x = 184.28

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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.