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Finding the Fourth Proportional to 230.36, 317.52 and 188.84

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Solution

The fourth proportional to 230.36, 317.52 and 188.84 is: 260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 317.52 = 188.84 : x
  2. Step 2: Convert to fraction form
    230.36/317.52 = 188.84/x
  3. Step 3: Cross multiply
    230.36x = 317.52 × 188.84
  4. Step 4: Simplify right side
    230.36x = 59,960.48
  5. Step 5: Solve for x
    x = 59,960.48/230.36
  6. Step 6: Final answer
    x = 260.29

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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.