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Finding the Fourth Proportional to 309.19, 463.78 and 89.84

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Solution

The fourth proportional to 309.19, 463.78 and 89.84 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 463.78 = 89.84 : x
  2. Step 2: Convert to fraction form
    309.19/463.78 = 89.84/x
  3. Step 3: Cross multiply
    309.19x = 463.78 × 89.84
  4. Step 4: Simplify right side
    309.19x = 41,666.00
  5. Step 5: Solve for x
    x = 41,666.00/309.19
  6. Step 6: Final answer
    x = 134.76

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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.