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Finding the Fourth Proportional to 369.90, 555.16 and 164.64

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Solution

The fourth proportional to 369.90, 555.16 and 164.64 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.90 : 555.16 = 164.64 : x
  2. Step 2: Convert to fraction form
    369.90/555.16 = 164.64/x
  3. Step 3: Cross multiply
    369.90x = 555.16 × 164.64
  4. Step 4: Simplify right side
    369.90x = 91,401.54
  5. Step 5: Solve for x
    x = 91,401.54/369.90
  6. Step 6: Final answer
    x = 247.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.