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Finding the Fourth Proportional to 295.68, 443.57 and 139.47

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Solution

The fourth proportional to 295.68, 443.57 and 139.47 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 443.57 = 139.47 : x
  2. Step 2: Convert to fraction form
    295.68/443.57 = 139.47/x
  3. Step 3: Cross multiply
    295.68x = 443.57 × 139.47
  4. Step 4: Simplify right side
    295.68x = 61,864.71
  5. Step 5: Solve for x
    x = 61,864.71/295.68
  6. Step 6: Final answer
    x = 209.23

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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.