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Finding the Fourth Proportional to 243.99, 336.75 and 145.76

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Solution

The fourth proportional to 243.99, 336.75 and 145.76 is: 201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.99 : 336.75 = 145.76 : x
  2. Step 2: Convert to fraction form
    243.99/336.75 = 145.76/x
  3. Step 3: Cross multiply
    243.99x = 336.75 × 145.76
  4. Step 4: Simplify right side
    243.99x = 49,083.00
  5. Step 5: Solve for x
    x = 49,083.00/243.99
  6. Step 6: Final answer
    x = 201.17

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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.