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Finding the Fourth Proportional to 347.80, 521.02 and 185.08

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Solution

The fourth proportional to 347.80, 521.02 and 185.08 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 521.02 = 185.08 : x
  2. Step 2: Convert to fraction form
    347.80/521.02 = 185.08/x
  3. Step 3: Cross multiply
    347.80x = 521.02 × 185.08
  4. Step 4: Simplify right side
    347.80x = 96,430.38
  5. Step 5: Solve for x
    x = 96,430.38/347.80
  6. Step 6: Final answer
    x = 277.26

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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.