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Finding the Fourth Proportional to 313.63, 470.66 and 128.68

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Solution

The fourth proportional to 313.63, 470.66 and 128.68 is: 193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.63 : 470.66 = 128.68 : x
  2. Step 2: Convert to fraction form
    313.63/470.66 = 128.68/x
  3. Step 3: Cross multiply
    313.63x = 470.66 × 128.68
  4. Step 4: Simplify right side
    313.63x = 60,564.53
  5. Step 5: Solve for x
    x = 60,564.53/313.63
  6. Step 6: Final answer
    x = 193.11

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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.