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Finding the Fourth Proportional to 228.42, 314.82 and 184.86

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Solution

The fourth proportional to 228.42, 314.82 and 184.86 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 314.82 = 184.86 : x
  2. Step 2: Convert to fraction form
    228.42/314.82 = 184.86/x
  3. Step 3: Cross multiply
    228.42x = 314.82 × 184.86
  4. Step 4: Simplify right side
    228.42x = 58,197.63
  5. Step 5: Solve for x
    x = 58,197.63/228.42
  6. Step 6: Final answer
    x = 254.78

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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.