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Finding the Fourth Proportional to 348.23, 521.82 and 186.02

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Solution

The fourth proportional to 348.23, 521.82 and 186.02 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.23 : 521.82 = 186.02 : x
  2. Step 2: Convert to fraction form
    348.23/521.82 = 186.02/x
  3. Step 3: Cross multiply
    348.23x = 521.82 × 186.02
  4. Step 4: Simplify right side
    348.23x = 97,066.35
  5. Step 5: Solve for x
    x = 97,066.35/348.23
  6. Step 6: Final answer
    x = 278.75

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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.