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Finding the Fourth Proportional to 314.10, 432.36 and 226.62

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Solution

The fourth proportional to 314.10, 432.36 and 226.62 is: 311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 432.36 = 226.62 : x
  2. Step 2: Convert to fraction form
    314.10/432.36 = 226.62/x
  3. Step 3: Cross multiply
    314.10x = 432.36 × 226.62
  4. Step 4: Simplify right side
    314.10x = 97,981.42
  5. Step 5: Solve for x
    x = 97,981.42/314.10
  6. Step 6: Final answer
    x = 311.94

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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.