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Finding the Fourth Proportional to 235.18, 324.57 and 224.02

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Solution

The fourth proportional to 235.18, 324.57 and 224.02 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.18 : 324.57 = 224.02 : x
  2. Step 2: Convert to fraction form
    235.18/324.57 = 224.02/x
  3. Step 3: Cross multiply
    235.18x = 324.57 × 224.02
  4. Step 4: Simplify right side
    235.18x = 72,710.17
  5. Step 5: Solve for x
    x = 72,710.17/235.18
  6. Step 6: Final answer
    x = 309.17

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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.