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Finding the Fourth Proportional to 228.57, 342.93 and 211.71

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Solution

The fourth proportional to 228.57, 342.93 and 211.71 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 342.93 = 211.71 : x
  2. Step 2: Convert to fraction form
    228.57/342.93 = 211.71/x
  3. Step 3: Cross multiply
    228.57x = 342.93 × 211.71
  4. Step 4: Simplify right side
    228.57x = 72,603.79
  5. Step 5: Solve for x
    x = 72,603.79/228.57
  6. Step 6: Final answer
    x = 317.64

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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.