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Finding the Fourth Proportional to 341.02, 470.57 and 191.67

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Solution

The fourth proportional to 341.02, 470.57 and 191.67 is: 264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 470.57 = 191.67 : x
  2. Step 2: Convert to fraction form
    341.02/470.57 = 191.67/x
  3. Step 3: Cross multiply
    341.02x = 470.57 × 191.67
  4. Step 4: Simplify right side
    341.02x = 90,194.15
  5. Step 5: Solve for x
    x = 90,194.15/341.02
  6. Step 6: Final answer
    x = 264.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.