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Finding the Fourth Proportional to 189.84, 261.74 and 154.74

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Solution

The fourth proportional to 189.84, 261.74 and 154.74 is: 213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 261.74 = 154.74 : x
  2. Step 2: Convert to fraction form
    189.84/261.74 = 154.74/x
  3. Step 3: Cross multiply
    189.84x = 261.74 × 154.74
  4. Step 4: Simplify right side
    189.84x = 40,501.65
  5. Step 5: Solve for x
    x = 40,501.65/189.84
  6. Step 6: Final answer
    x = 213.35

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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.