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Finding the Fourth Proportional to 260.50, 358.95 and 177.47

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Solution

The fourth proportional to 260.50, 358.95 and 177.47 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.50 : 358.95 = 177.47 : x
  2. Step 2: Convert to fraction form
    260.50/358.95 = 177.47/x
  3. Step 3: Cross multiply
    260.50x = 358.95 × 177.47
  4. Step 4: Simplify right side
    260.50x = 63,702.86
  5. Step 5: Solve for x
    x = 63,702.86/260.50
  6. Step 6: Final answer
    x = 244.54

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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.