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Finding the Fourth Proportional to 330.16, 455.40 and 232.12

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Solution

The fourth proportional to 330.16, 455.40 and 232.12 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.16 : 455.40 = 232.12 : x
  2. Step 2: Convert to fraction form
    330.16/455.40 = 232.12/x
  3. Step 3: Cross multiply
    330.16x = 455.40 × 232.12
  4. Step 4: Simplify right side
    330.16x = 105,707.45
  5. Step 5: Solve for x
    x = 105,707.45/330.16
  6. Step 6: Final answer
    x = 320.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.