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Finding the Fourth Proportional to 293.51, 442.23 and 265.75

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Solution

The fourth proportional to 293.51, 442.23 and 265.75 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.51 : 442.23 = 265.75 : x
  2. Step 2: Convert to fraction form
    293.51/442.23 = 265.75/x
  3. Step 3: Cross multiply
    293.51x = 442.23 × 265.75
  4. Step 4: Simplify right side
    293.51x = 117,522.62
  5. Step 5: Solve for x
    x = 117,522.62/293.51
  6. Step 6: Final answer
    x = 400.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.