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Finding the Fourth Proportional to 449.60, 673.65 and 156.95

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Solution

The fourth proportional to 449.60, 673.65 and 156.95 is: 235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 673.65 = 156.95 : x
  2. Step 2: Convert to fraction form
    449.60/673.65 = 156.95/x
  3. Step 3: Cross multiply
    449.60x = 673.65 × 156.95
  4. Step 4: Simplify right side
    449.60x = 105,726.00
  5. Step 5: Solve for x
    x = 105,726.00/449.60
  6. Step 6: Final answer
    x = 235.15

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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.