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Finding the Fourth Proportional to 232.36, 320.64 and 145.02

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Solution

The fourth proportional to 232.36, 320.64 and 145.02 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.36 : 320.64 = 145.02 : x
  2. Step 2: Convert to fraction form
    232.36/320.64 = 145.02/x
  3. Step 3: Cross multiply
    232.36x = 320.64 × 145.02
  4. Step 4: Simplify right side
    232.36x = 46,499.21
  5. Step 5: Solve for x
    x = 46,499.21/232.36
  6. Step 6: Final answer
    x = 200.12

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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.