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Finding the Fourth Proportional to 602.89, 904.39 and 164.17

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Solution

The fourth proportional to 602.89, 904.39 and 164.17 is: 246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.89 : 904.39 = 164.17 : x
  2. Step 2: Convert to fraction form
    602.89/904.39 = 164.17/x
  3. Step 3: Cross multiply
    602.89x = 904.39 × 164.17
  4. Step 4: Simplify right side
    602.89x = 148,470.87
  5. Step 5: Solve for x
    x = 148,470.87/602.89
  6. Step 6: Final answer
    x = 246.27

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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.