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Finding the Fourth Proportional to 315.14, 472.20 and 228.36

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Solution

The fourth proportional to 315.14, 472.20 and 228.36 is: 342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 472.20 = 228.36 : x
  2. Step 2: Convert to fraction form
    315.14/472.20 = 228.36/x
  3. Step 3: Cross multiply
    315.14x = 472.20 × 228.36
  4. Step 4: Simplify right side
    315.14x = 107,831.59
  5. Step 5: Solve for x
    x = 107,831.59/315.14
  6. Step 6: Final answer
    x = 342.17

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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.