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Finding the Fourth Proportional to 320.10, 480 and 114.63

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Solution

The fourth proportional to 320.10, 480 and 114.63 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 480 = 114.63 : x
  2. Step 2: Convert to fraction form
    320.10/480 = 114.63/x
  3. Step 3: Cross multiply
    320.10x = 480 × 114.63
  4. Step 4: Simplify right side
    320.10x = 55,022.40
  5. Step 5: Solve for x
    x = 55,022.40/320.10
  6. Step 6: Final answer
    x = 171.89

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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.