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Finding the Fourth Proportional to 311.58, 430.03 and 192.01

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Solution

The fourth proportional to 311.58, 430.03 and 192.01 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 430.03 = 192.01 : x
  2. Step 2: Convert to fraction form
    311.58/430.03 = 192.01/x
  3. Step 3: Cross multiply
    311.58x = 430.03 × 192.01
  4. Step 4: Simplify right side
    311.58x = 82,570.16
  5. Step 5: Solve for x
    x = 82,570.16/311.58
  6. Step 6: Final answer
    x = 265.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.