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Finding the Fourth Proportional to 310.88, 466.19 and 128.14

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Solution

The fourth proportional to 310.88, 466.19 and 128.14 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 466.19 = 128.14 : x
  2. Step 2: Convert to fraction form
    310.88/466.19 = 128.14/x
  3. Step 3: Cross multiply
    310.88x = 466.19 × 128.14
  4. Step 4: Simplify right side
    310.88x = 59,739.67
  5. Step 5: Solve for x
    x = 59,739.67/310.88
  6. Step 6: Final answer
    x = 192.16

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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.