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Finding the Fourth Proportional to 295.53, 407.07 and 208.05

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Solution

The fourth proportional to 295.53, 407.07 and 208.05 is: 286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 407.07 = 208.05 : x
  2. Step 2: Convert to fraction form
    295.53/407.07 = 208.05/x
  3. Step 3: Cross multiply
    295.53x = 407.07 × 208.05
  4. Step 4: Simplify right side
    295.53x = 84,690.91
  5. Step 5: Solve for x
    x = 84,690.91/295.53
  6. Step 6: Final answer
    x = 286.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.