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Finding the Fourth Proportional to 347.50, 521.23 and 174.10

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Solution

The fourth proportional to 347.50, 521.23 and 174.10 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 521.23 = 174.10 : x
  2. Step 2: Convert to fraction form
    347.50/521.23 = 174.10/x
  3. Step 3: Cross multiply
    347.50x = 521.23 × 174.10
  4. Step 4: Simplify right side
    347.50x = 90,746.14
  5. Step 5: Solve for x
    x = 90,746.14/347.50
  6. Step 6: Final answer
    x = 261.14

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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.