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Finding the Fourth Proportional to 309.36, 463.76 and 155.20

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Solution

The fourth proportional to 309.36, 463.76 and 155.20 is: 232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 463.76 = 155.20 : x
  2. Step 2: Convert to fraction form
    309.36/463.76 = 155.20/x
  3. Step 3: Cross multiply
    309.36x = 463.76 × 155.20
  4. Step 4: Simplify right side
    309.36x = 71,975.55
  5. Step 5: Solve for x
    x = 71,975.55/309.36
  6. Step 6: Final answer
    x = 232.66

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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.