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Finding the Fourth Proportional to 189.84, 262.10 and 148.32

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Solution

The fourth proportional to 189.84, 262.10 and 148.32 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 262.10 = 148.32 : x
  2. Step 2: Convert to fraction form
    189.84/262.10 = 148.32/x
  3. Step 3: Cross multiply
    189.84x = 262.10 × 148.32
  4. Step 4: Simplify right side
    189.84x = 38,874.67
  5. Step 5: Solve for x
    x = 38,874.67/189.84
  6. Step 6: Final answer
    x = 204.78

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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.