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Finding the Fourth Proportional to 228.05, 314.56 and 129.78

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Solution

The fourth proportional to 228.05, 314.56 and 129.78 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.05 : 314.56 = 129.78 : x
  2. Step 2: Convert to fraction form
    228.05/314.56 = 129.78/x
  3. Step 3: Cross multiply
    228.05x = 314.56 × 129.78
  4. Step 4: Simplify right side
    228.05x = 40,823.60
  5. Step 5: Solve for x
    x = 40,823.60/228.05
  6. Step 6: Final answer
    x = 179.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.