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Finding the Fourth Proportional to 313.17, 469.89 and 150.84

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Solution

The fourth proportional to 313.17, 469.89 and 150.84 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.17 : 469.89 = 150.84 : x
  2. Step 2: Convert to fraction form
    313.17/469.89 = 150.84/x
  3. Step 3: Cross multiply
    313.17x = 469.89 × 150.84
  4. Step 4: Simplify right side
    313.17x = 70,878.21
  5. Step 5: Solve for x
    x = 70,878.21/313.17
  6. Step 6: Final answer
    x = 226.33

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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.