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Finding the Fourth Proportional to 285.64, 428.26 and 139.40

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Solution

The fourth proportional to 285.64, 428.26 and 139.40 is: 209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.64 : 428.26 = 139.40 : x
  2. Step 2: Convert to fraction form
    285.64/428.26 = 139.40/x
  3. Step 3: Cross multiply
    285.64x = 428.26 × 139.40
  4. Step 4: Simplify right side
    285.64x = 59,699.44
  5. Step 5: Solve for x
    x = 59,699.44/285.64
  6. Step 6: Final answer
    x = 209.00

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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.