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Finding the Fourth Proportional to 293.02, 404.16 and 188.14

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Solution

The fourth proportional to 293.02, 404.16 and 188.14 is: 259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 404.16 = 188.14 : x
  2. Step 2: Convert to fraction form
    293.02/404.16 = 188.14/x
  3. Step 3: Cross multiply
    293.02x = 404.16 × 188.14
  4. Step 4: Simplify right side
    293.02x = 76,038.66
  5. Step 5: Solve for x
    x = 76,038.66/293.02
  6. Step 6: Final answer
    x = 259.50

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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.