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Finding the Fourth Proportional to 482.23, 723.35 and 157.60

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Solution

The fourth proportional to 482.23, 723.35 and 157.60 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.23 : 723.35 = 157.60 : x
  2. Step 2: Convert to fraction form
    482.23/723.35 = 157.60/x
  3. Step 3: Cross multiply
    482.23x = 723.35 × 157.60
  4. Step 4: Simplify right side
    482.23x = 113,999.96
  5. Step 5: Solve for x
    x = 113,999.96/482.23
  6. Step 6: Final answer
    x = 236.40

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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.