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Finding the Fourth Proportional to 369.46, 553.77 and 164.13

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Solution

The fourth proportional to 369.46, 553.77 and 164.13 is: 246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 553.77 = 164.13 : x
  2. Step 2: Convert to fraction form
    369.46/553.77 = 164.13/x
  3. Step 3: Cross multiply
    369.46x = 553.77 × 164.13
  4. Step 4: Simplify right side
    369.46x = 90,888.19
  5. Step 5: Solve for x
    x = 90,888.19/369.46
  6. Step 6: Final answer
    x = 246.00

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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.