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Finding the Fourth Proportional to 368.17, 552.39 and 175.75

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Solution

The fourth proportional to 368.17, 552.39 and 175.75 is: 263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.17 : 552.39 = 175.75 : x
  2. Step 2: Convert to fraction form
    368.17/552.39 = 175.75/x
  3. Step 3: Cross multiply
    368.17x = 552.39 × 175.75
  4. Step 4: Simplify right side
    368.17x = 97,082.54
  5. Step 5: Solve for x
    x = 97,082.54/368.17
  6. Step 6: Final answer
    x = 263.69

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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.