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Finding the Fourth Proportional to 310.62, 466.03 and 128.10

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Solution

The fourth proportional to 310.62, 466.03 and 128.10 is: 192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 466.03 = 128.10 : x
  2. Step 2: Convert to fraction form
    310.62/466.03 = 128.10/x
  3. Step 3: Cross multiply
    310.62x = 466.03 × 128.10
  4. Step 4: Simplify right side
    310.62x = 59,698.12
  5. Step 5: Solve for x
    x = 59,698.12/310.62
  6. Step 6: Final answer
    x = 192.19

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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.