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Finding the Fourth Proportional to 347.55, 521.07 and 182.91

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Solution

The fourth proportional to 347.55, 521.07 and 182.91 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.55 : 521.07 = 182.91 : x
  2. Step 2: Convert to fraction form
    347.55/521.07 = 182.91/x
  3. Step 3: Cross multiply
    347.55x = 521.07 × 182.91
  4. Step 4: Simplify right side
    347.55x = 95,308.91
  5. Step 5: Solve for x
    x = 95,308.91/347.55
  6. Step 6: Final answer
    x = 274.23

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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.