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Finding the Fourth Proportional to 292.21, 437.74 and 170.21

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Solution

The fourth proportional to 292.21, 437.74 and 170.21 is: 254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 437.74 = 170.21 : x
  2. Step 2: Convert to fraction form
    292.21/437.74 = 170.21/x
  3. Step 3: Cross multiply
    292.21x = 437.74 × 170.21
  4. Step 4: Simplify right side
    292.21x = 74,506.87
  5. Step 5: Solve for x
    x = 74,506.87/292.21
  6. Step 6: Final answer
    x = 254.98

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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.