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Finding the Fourth Proportional to 595.36, 892.91 and 162.55

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Solution

The fourth proportional to 595.36, 892.91 and 162.55 is: 243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 892.91 = 162.55 : x
  2. Step 2: Convert to fraction form
    595.36/892.91 = 162.55/x
  3. Step 3: Cross multiply
    595.36x = 892.91 × 162.55
  4. Step 4: Simplify right side
    595.36x = 145,141.71
  5. Step 5: Solve for x
    x = 145,141.71/595.36
  6. Step 6: Final answer
    x = 243.79

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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.