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Finding the Fourth Proportional to 348.84, 523.25 and 102.05

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Solution

The fourth proportional to 348.84, 523.25 and 102.05 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 523.25 = 102.05 : x
  2. Step 2: Convert to fraction form
    348.84/523.25 = 102.05/x
  3. Step 3: Cross multiply
    348.84x = 523.25 × 102.05
  4. Step 4: Simplify right side
    348.84x = 53,397.66
  5. Step 5: Solve for x
    x = 53,397.66/348.84
  6. Step 6: Final answer
    x = 153.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.