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Finding the Fourth Proportional to 228.76, 314.99 and 181.98

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Solution

The fourth proportional to 228.76, 314.99 and 181.98 is: 250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 314.99 = 181.98 : x
  2. Step 2: Convert to fraction form
    228.76/314.99 = 181.98/x
  3. Step 3: Cross multiply
    228.76x = 314.99 × 181.98
  4. Step 4: Simplify right side
    228.76x = 57,321.65
  5. Step 5: Solve for x
    x = 57,321.65/228.76
  6. Step 6: Final answer
    x = 250.58

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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.