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Finding the Fourth Proportional to 230.64, 317.32 and 225.20

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Solution

The fourth proportional to 230.64, 317.32 and 225.20 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 317.32 = 225.20 : x
  2. Step 2: Convert to fraction form
    230.64/317.32 = 225.20/x
  3. Step 3: Cross multiply
    230.64x = 317.32 × 225.20
  4. Step 4: Simplify right side
    230.64x = 71,460.46
  5. Step 5: Solve for x
    x = 71,460.46/230.64
  6. Step 6: Final answer
    x = 309.84

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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.