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Finding the Fourth Proportional to 293.07, 438.81 and 177.36

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Solution

The fourth proportional to 293.07, 438.81 and 177.36 is: 265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 438.81 = 177.36 : x
  2. Step 2: Convert to fraction form
    293.07/438.81 = 177.36/x
  3. Step 3: Cross multiply
    293.07x = 438.81 × 177.36
  4. Step 4: Simplify right side
    293.07x = 77,827.34
  5. Step 5: Solve for x
    x = 77,827.34/293.07
  6. Step 6: Final answer
    x = 265.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.