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Finding the Fourth Proportional to 228.62, 315.53 and 166.65

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Solution

The fourth proportional to 228.62, 315.53 and 166.65 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.62 : 315.53 = 166.65 : x
  2. Step 2: Convert to fraction form
    228.62/315.53 = 166.65/x
  3. Step 3: Cross multiply
    228.62x = 315.53 × 166.65
  4. Step 4: Simplify right side
    228.62x = 52,583.07
  5. Step 5: Solve for x
    x = 52,583.07/228.62
  6. Step 6: Final answer
    x = 230.00

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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.