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Finding the Fourth Proportional to 566.22, 849.51 and 201

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Solution

The fourth proportional to 566.22, 849.51 and 201 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 849.51 = 201 : x
  2. Step 2: Convert to fraction form
    566.22/849.51 = 201/x
  3. Step 3: Cross multiply
    566.22x = 849.51 × 201
  4. Step 4: Simplify right side
    566.22x = 170,751.51
  5. Step 5: Solve for x
    x = 170,751.51/566.22
  6. Step 6: Final answer
    x = 301.56

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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.