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Finding the Fourth Proportional to 375.72, 564.66 and 183.48

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Solution

The fourth proportional to 375.72, 564.66 and 183.48 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 564.66 = 183.48 : x
  2. Step 2: Convert to fraction form
    375.72/564.66 = 183.48/x
  3. Step 3: Cross multiply
    375.72x = 564.66 × 183.48
  4. Step 4: Simplify right side
    375.72x = 103,603.82
  5. Step 5: Solve for x
    x = 103,603.82/375.72
  6. Step 6: Final answer
    x = 275.75

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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.