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Finding the Fourth Proportional to 295.56, 407.85 and 177.54

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Solution

The fourth proportional to 295.56, 407.85 and 177.54 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.56 : 407.85 = 177.54 : x
  2. Step 2: Convert to fraction form
    295.56/407.85 = 177.54/x
  3. Step 3: Cross multiply
    295.56x = 407.85 × 177.54
  4. Step 4: Simplify right side
    295.56x = 72,409.69
  5. Step 5: Solve for x
    x = 72,409.69/295.56
  6. Step 6: Final answer
    x = 244.99

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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.