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Finding the Fourth Proportional to 602.84, 904.17 and 164.12

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Solution

The fourth proportional to 602.84, 904.17 and 164.12 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 904.17 = 164.12 : x
  2. Step 2: Convert to fraction form
    602.84/904.17 = 164.12/x
  3. Step 3: Cross multiply
    602.84x = 904.17 × 164.12
  4. Step 4: Simplify right side
    602.84x = 148,392.38
  5. Step 5: Solve for x
    x = 148,392.38/602.84
  6. Step 6: Final answer
    x = 246.16

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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.