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Finding the Fourth Proportional to 313.18, 469.77 and 150.78

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Solution

The fourth proportional to 313.18, 469.77 and 150.78 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 469.77 = 150.78 : x
  2. Step 2: Convert to fraction form
    313.18/469.77 = 150.78/x
  3. Step 3: Cross multiply
    313.18x = 469.77 × 150.78
  4. Step 4: Simplify right side
    313.18x = 70,831.92
  5. Step 5: Solve for x
    x = 70,831.92/313.18
  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.