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Finding the Fourth Proportional to 293.14, 404.53 and 162.14

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Solution

The fourth proportional to 293.14, 404.53 and 162.14 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 404.53 = 162.14 : x
  2. Step 2: Convert to fraction form
    293.14/404.53 = 162.14/x
  3. Step 3: Cross multiply
    293.14x = 404.53 × 162.14
  4. Step 4: Simplify right side
    293.14x = 65,590.34
  5. Step 5: Solve for x
    x = 65,590.34/293.14
  6. Step 6: Final answer
    x = 223.75

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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.