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Finding the Fourth Proportional to 347.84, 521.15 and 183.06

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Solution

The fourth proportional to 347.84, 521.15 and 183.06 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 521.15 = 183.06 : x
  2. Step 2: Convert to fraction form
    347.84/521.15 = 183.06/x
  3. Step 3: Cross multiply
    347.84x = 521.15 × 183.06
  4. Step 4: Simplify right side
    347.84x = 95,401.72
  5. Step 5: Solve for x
    x = 95,401.72/347.84
  6. Step 6: Final answer
    x = 274.27

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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.