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Finding the Fourth Proportional to 154.35, 212.84 and 152.79

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Solution

The fourth proportional to 154.35, 212.84 and 152.79 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.35 : 212.84 = 152.79 : x
  2. Step 2: Convert to fraction form
    154.35/212.84 = 152.79/x
  3. Step 3: Cross multiply
    154.35x = 212.84 × 152.79
  4. Step 4: Simplify right side
    154.35x = 32,519.06
  5. Step 5: Solve for x
    x = 32,519.06/154.35
  6. Step 6: Final answer
    x = 210.68

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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.