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Finding the Fourth Proportional to 228.69, 314.69 and 197.45

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Solution

The fourth proportional to 228.69, 314.69 and 197.45 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.69 : 314.69 = 197.45 : x
  2. Step 2: Convert to fraction form
    228.69/314.69 = 197.45/x
  3. Step 3: Cross multiply
    228.69x = 314.69 × 197.45
  4. Step 4: Simplify right side
    228.69x = 62,135.93
  5. Step 5: Solve for x
    x = 62,135.93/228.69
  6. Step 6: Final answer
    x = 271.70

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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.