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Finding the Fourth Proportional to 313.29, 469.63 and 150.88

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Solution

The fourth proportional to 313.29, 469.63 and 150.88 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 469.63 = 150.88 : x
  2. Step 2: Convert to fraction form
    313.29/469.63 = 150.88/x
  3. Step 3: Cross multiply
    313.29x = 469.63 × 150.88
  4. Step 4: Simplify right side
    313.29x = 70,857.77
  5. Step 5: Solve for x
    x = 70,857.77/313.29
  6. Step 6: Final answer
    x = 226.17

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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.