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Finding the Fourth Proportional to 292.21, 438.20 and 109.51

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Solution

The fourth proportional to 292.21, 438.20 and 109.51 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 438.20 = 109.51 : x
  2. Step 2: Convert to fraction form
    292.21/438.20 = 109.51/x
  3. Step 3: Cross multiply
    292.21x = 438.20 × 109.51
  4. Step 4: Simplify right side
    292.21x = 47,985.09
  5. Step 5: Solve for x
    x = 47,985.09/292.21
  6. Step 6: Final answer
    x = 164.21

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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.