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Finding the Fourth Proportional to 154.02, 212.40 and 135.78

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Solution

The fourth proportional to 154.02, 212.40 and 135.78 is: 187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 212.40 = 135.78 : x
  2. Step 2: Convert to fraction form
    154.02/212.40 = 135.78/x
  3. Step 3: Cross multiply
    154.02x = 212.40 × 135.78
  4. Step 4: Simplify right side
    154.02x = 28,839.67
  5. Step 5: Solve for x
    x = 28,839.67/154.02
  6. Step 6: Final answer
    x = 187.25

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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.