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Finding the Fourth Proportional to 228.64, 316.84 and 185.44

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Solution

The fourth proportional to 228.64, 316.84 and 185.44 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.64 : 316.84 = 185.44 : x
  2. Step 2: Convert to fraction form
    228.64/316.84 = 185.44/x
  3. Step 3: Cross multiply
    228.64x = 316.84 × 185.44
  4. Step 4: Simplify right side
    228.64x = 58,754.81
  5. Step 5: Solve for x
    x = 58,754.81/228.64
  6. Step 6: Final answer
    x = 256.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.