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Finding the Fourth Proportional to 309.30, 463.96 and 188.10

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Solution

The fourth proportional to 309.30, 463.96 and 188.10 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 463.96 = 188.10 : x
  2. Step 2: Convert to fraction form
    309.30/463.96 = 188.10/x
  3. Step 3: Cross multiply
    309.30x = 463.96 × 188.10
  4. Step 4: Simplify right side
    309.30x = 87,270.88
  5. Step 5: Solve for x
    x = 87,270.88/309.30
  6. Step 6: Final answer
    x = 282.16

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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.