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Finding the Fourth Proportional to 228.84, 315.66 and 155.22

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Solution

The fourth proportional to 228.84, 315.66 and 155.22 is: 214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 315.66 = 155.22 : x
  2. Step 2: Convert to fraction form
    228.84/315.66 = 155.22/x
  3. Step 3: Cross multiply
    228.84x = 315.66 × 155.22
  4. Step 4: Simplify right side
    228.84x = 48,996.75
  5. Step 5: Solve for x
    x = 48,996.75/228.84
  6. Step 6: Final answer
    x = 214.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.