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Finding the Fourth Proportional to 446.55, 669.93 and 157.99

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Solution

The fourth proportional to 446.55, 669.93 and 157.99 is: 237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.55 : 669.93 = 157.99 : x
  2. Step 2: Convert to fraction form
    446.55/669.93 = 157.99/x
  3. Step 3: Cross multiply
    446.55x = 669.93 × 157.99
  4. Step 4: Simplify right side
    446.55x = 105,844.22
  5. Step 5: Solve for x
    x = 105,844.22/446.55
  6. Step 6: Final answer
    x = 237.02

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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.