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Finding the Fourth Proportional to 292.21, 438.08 and 201.08

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Solution

The fourth proportional to 292.21, 438.08 and 201.08 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 438.08 = 201.08 : x
  2. Step 2: Convert to fraction form
    292.21/438.08 = 201.08/x
  3. Step 3: Cross multiply
    292.21x = 438.08 × 201.08
  4. Step 4: Simplify right side
    292.21x = 88,089.22
  5. Step 5: Solve for x
    x = 88,089.22/292.21
  6. Step 6: Final answer
    x = 301.46

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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.