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Finding the Fourth Proportional to 292.65, 438.66 and 109.93

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Solution

The fourth proportional to 292.65, 438.66 and 109.93 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.65 : 438.66 = 109.93 : x
  2. Step 2: Convert to fraction form
    292.65/438.66 = 109.93/x
  3. Step 3: Cross multiply
    292.65x = 438.66 × 109.93
  4. Step 4: Simplify right side
    292.65x = 48,221.89
  5. Step 5: Solve for x
    x = 48,221.89/292.65
  6. Step 6: Final answer
    x = 164.78

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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.