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Finding the Fourth Proportional to 292.25, 438.54 and 109.65

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Solution

The fourth proportional to 292.25, 438.54 and 109.65 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.25 : 438.54 = 109.65 : x
  2. Step 2: Convert to fraction form
    292.25/438.54 = 109.65/x
  3. Step 3: Cross multiply
    292.25x = 438.54 × 109.65
  4. Step 4: Simplify right side
    292.25x = 48,085.91
  5. Step 5: Solve for x
    x = 48,085.91/292.25
  6. Step 6: Final answer
    x = 164.54

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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.