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Finding the Fourth Proportional to 342.16, 472.08 and 224.32

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Solution

The fourth proportional to 342.16, 472.08 and 224.32 is: 309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 472.08 = 224.32 : x
  2. Step 2: Convert to fraction form
    342.16/472.08 = 224.32/x
  3. Step 3: Cross multiply
    342.16x = 472.08 × 224.32
  4. Step 4: Simplify right side
    342.16x = 105,896.99
  5. Step 5: Solve for x
    x = 105,896.99/342.16
  6. Step 6: Final answer
    x = 309.50

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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.