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Finding the Fourth Proportional to 228, 314.58 and 134.70

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Solution

The fourth proportional to 228, 314.58 and 134.70 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 314.58 = 134.70 : x
  2. Step 2: Convert to fraction form
    228/314.58 = 134.70/x
  3. Step 3: Cross multiply
    228x = 314.58 × 134.70
  4. Step 4: Simplify right side
    228x = 42,373.93
  5. Step 5: Solve for x
    x = 42,373.93/228
  6. Step 6: Final answer
    x = 185.85

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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.