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Finding the Fourth Proportional to 230.04, 346.80 and 216.12

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Solution

The fourth proportional to 230.04, 346.80 and 216.12 is: 325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 346.80 = 216.12 : x
  2. Step 2: Convert to fraction form
    230.04/346.80 = 216.12/x
  3. Step 3: Cross multiply
    230.04x = 346.80 × 216.12
  4. Step 4: Simplify right side
    230.04x = 74,950.42
  5. Step 5: Solve for x
    x = 74,950.42/230.04
  6. Step 6: Final answer
    x = 325.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.