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Finding the Fourth Proportional to 228.96, 315.84 and 155.25

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Solution

The fourth proportional to 228.96, 315.84 and 155.25 is: 214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 315.84 = 155.25 : x
  2. Step 2: Convert to fraction form
    228.96/315.84 = 155.25/x
  3. Step 3: Cross multiply
    228.96x = 315.84 × 155.25
  4. Step 4: Simplify right side
    228.96x = 49,034.16
  5. Step 5: Solve for x
    x = 49,034.16/228.96
  6. Step 6: Final answer
    x = 214.16

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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.