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Finding the Fourth Proportional to 228.10, 314.66 and 134.80

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Solution

The fourth proportional to 228.10, 314.66 and 134.80 is: 185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.10 : 314.66 = 134.80 : x
  2. Step 2: Convert to fraction form
    228.10/314.66 = 134.80/x
  3. Step 3: Cross multiply
    228.10x = 314.66 × 134.80
  4. Step 4: Simplify right side
    228.10x = 42,416.46
  5. Step 5: Solve for x
    x = 42,416.46/228.10
  6. Step 6: Final answer
    x = 185.96

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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.