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Finding the Fourth Proportional to 293.04, 438.84 and 171.18

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Solution

The fourth proportional to 293.04, 438.84 and 171.18 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 438.84 = 171.18 : x
  2. Step 2: Convert to fraction form
    293.04/438.84 = 171.18/x
  3. Step 3: Cross multiply
    293.04x = 438.84 × 171.18
  4. Step 4: Simplify right side
    293.04x = 75,120.63
  5. Step 5: Solve for x
    x = 75,120.63/293.04
  6. Step 6: Final answer
    x = 256.35

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