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Finding the Fourth Proportional to 347.50, 521.55 and 180.84

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Solution

The fourth proportional to 347.50, 521.55 and 180.84 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 521.55 = 180.84 : x
  2. Step 2: Convert to fraction form
    347.50/521.55 = 180.84/x
  3. Step 3: Cross multiply
    347.50x = 521.55 × 180.84
  4. Step 4: Simplify right side
    347.50x = 94,317.10
  5. Step 5: Solve for x
    x = 94,317.10/347.50
  6. Step 6: Final answer
    x = 271.42

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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.