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Finding the Fourth Proportional to 292.70, 438.06 and 201.53

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Solution

The fourth proportional to 292.70, 438.06 and 201.53 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 438.06 = 201.53 : x
  2. Step 2: Convert to fraction form
    292.70/438.06 = 201.53/x
  3. Step 3: Cross multiply
    292.70x = 438.06 × 201.53
  4. Step 4: Simplify right side
    292.70x = 88,282.23
  5. Step 5: Solve for x
    x = 88,282.23/292.70
  6. Step 6: Final answer
    x = 301.61

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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.