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Finding the Fourth Proportional to 403.48, 605.16 and 160

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Solution

The fourth proportional to 403.48, 605.16 and 160 is: 239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 605.16 = 160 : x
  2. Step 2: Convert to fraction form
    403.48/605.16 = 160/x
  3. Step 3: Cross multiply
    403.48x = 605.16 × 160
  4. Step 4: Simplify right side
    403.48x = 96,825.60
  5. Step 5: Solve for x
    x = 96,825.60/403.48
  6. Step 6: Final answer
    x = 239.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.