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Finding the Fourth Proportional to 228.20, 340.95 and 175.84

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Solution

The fourth proportional to 228.20, 340.95 and 175.84 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 340.95 = 175.84 : x
  2. Step 2: Convert to fraction form
    228.20/340.95 = 175.84/x
  3. Step 3: Cross multiply
    228.20x = 340.95 × 175.84
  4. Step 4: Simplify right side
    228.20x = 59,952.65
  5. Step 5: Solve for x
    x = 59,952.65/228.20
  6. Step 6: Final answer
    x = 262.72

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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.