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Finding the Fourth Proportional to 295.57, 407.88 and 164.59

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Solution

The fourth proportional to 295.57, 407.88 and 164.59 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.57 : 407.88 = 164.59 : x
  2. Step 2: Convert to fraction form
    295.57/407.88 = 164.59/x
  3. Step 3: Cross multiply
    295.57x = 407.88 × 164.59
  4. Step 4: Simplify right side
    295.57x = 67,132.97
  5. Step 5: Solve for x
    x = 67,132.97/295.57
  6. Step 6: Final answer
    x = 227.13

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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.