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Finding the Fourth Proportional to 293.40, 404.84 and 162.40

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Solution

The fourth proportional to 293.40, 404.84 and 162.40 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 404.84 = 162.40 : x
  2. Step 2: Convert to fraction form
    293.40/404.84 = 162.40/x
  3. Step 3: Cross multiply
    293.40x = 404.84 × 162.40
  4. Step 4: Simplify right side
    293.40x = 65,746.02
  5. Step 5: Solve for x
    x = 65,746.02/293.40
  6. Step 6: Final answer
    x = 224.08

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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.