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Finding the Fourth Proportional to 228.47, 340.86 and 199.53

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Solution

The fourth proportional to 228.47, 340.86 and 199.53 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.47 : 340.86 = 199.53 : x
  2. Step 2: Convert to fraction form
    228.47/340.86 = 199.53/x
  3. Step 3: Cross multiply
    228.47x = 340.86 × 199.53
  4. Step 4: Simplify right side
    228.47x = 68,013.07
  5. Step 5: Solve for x
    x = 68,013.07/228.47
  6. Step 6: Final answer
    x = 297.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.