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Finding the Fourth Proportional to 347.83, 521.57 and 128.49

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Solution

The fourth proportional to 347.83, 521.57 and 128.49 is: 192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.83 : 521.57 = 128.49 : x
  2. Step 2: Convert to fraction form
    347.83/521.57 = 128.49/x
  3. Step 3: Cross multiply
    347.83x = 521.57 × 128.49
  4. Step 4: Simplify right side
    347.83x = 67,014.89
  5. Step 5: Solve for x
    x = 67,014.89/347.83
  6. Step 6: Final answer
    x = 192.67

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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.