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Finding the Fourth Proportional to 292.64, 438.12 and 164

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Solution

The fourth proportional to 292.64, 438.12 and 164 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 438.12 = 164 : x
  2. Step 2: Convert to fraction form
    292.64/438.12 = 164/x
  3. Step 3: Cross multiply
    292.64x = 438.12 × 164
  4. Step 4: Simplify right side
    292.64x = 71,851.68
  5. Step 5: Solve for x
    x = 71,851.68/292.64
  6. Step 6: Final answer
    x = 245.53

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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.