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Finding the Fourth Proportional to 368.49, 553.01 and 195.24

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Solution

The fourth proportional to 368.49, 553.01 and 195.24 is: 293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.49 : 553.01 = 195.24 : x
  2. Step 2: Convert to fraction form
    368.49/553.01 = 195.24/x
  3. Step 3: Cross multiply
    368.49x = 553.01 × 195.24
  4. Step 4: Simplify right side
    368.49x = 107,968.03
  5. Step 5: Solve for x
    x = 107,968.03/368.49
  6. Step 6: Final answer
    x = 293.00

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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.