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Finding the Fourth Proportional to 303.10, 454.66 and 86.66

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Solution

The fourth proportional to 303.10, 454.66 and 86.66 is: 129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.10 : 454.66 = 86.66 : x
  2. Step 2: Convert to fraction form
    303.10/454.66 = 86.66/x
  3. Step 3: Cross multiply
    303.10x = 454.66 × 86.66
  4. Step 4: Simplify right side
    303.10x = 39,400.84
  5. Step 5: Solve for x
    x = 39,400.84/303.10
  6. Step 6: Final answer
    x = 129.99

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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.