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Finding the Fourth Proportional to 292.35, 438.81 and 184.21

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Solution

The fourth proportional to 292.35, 438.81 and 184.21 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.35 : 438.81 = 184.21 : x
  2. Step 2: Convert to fraction form
    292.35/438.81 = 184.21/x
  3. Step 3: Cross multiply
    292.35x = 438.81 × 184.21
  4. Step 4: Simplify right side
    292.35x = 80,833.19
  5. Step 5: Solve for x
    x = 80,833.19/292.35
  6. Step 6: Final answer
    x = 276.49

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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.