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Finding the Fourth Proportional to 228.14, 314.45 and 154.32

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Solution

The fourth proportional to 228.14, 314.45 and 154.32 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 314.45 = 154.32 : x
  2. Step 2: Convert to fraction form
    228.14/314.45 = 154.32/x
  3. Step 3: Cross multiply
    228.14x = 314.45 × 154.32
  4. Step 4: Simplify right side
    228.14x = 48,526.31
  5. Step 5: Solve for x
    x = 48,526.31/228.14
  6. Step 6: Final answer
    x = 212.71

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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.