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Finding the Fourth Proportional to 302.08, 416.32 and 224.48

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Solution

The fourth proportional to 302.08, 416.32 and 224.48 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.08 : 416.32 = 224.48 : x
  2. Step 2: Convert to fraction form
    302.08/416.32 = 224.48/x
  3. Step 3: Cross multiply
    302.08x = 416.32 × 224.48
  4. Step 4: Simplify right side
    302.08x = 93,455.51
  5. Step 5: Solve for x
    x = 93,455.51/302.08
  6. Step 6: Final answer
    x = 309.37

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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.