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Finding the Fourth Proportional to 293.17, 438.80 and 216.10

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Solution

The fourth proportional to 293.17, 438.80 and 216.10 is: 323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 438.80 = 216.10 : x
  2. Step 2: Convert to fraction form
    293.17/438.80 = 216.10/x
  3. Step 3: Cross multiply
    293.17x = 438.80 × 216.10
  4. Step 4: Simplify right side
    293.17x = 94,824.68
  5. Step 5: Solve for x
    x = 94,824.68/293.17
  6. Step 6: Final answer
    x = 323.45

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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.