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Finding the Fourth Proportional to 309.19, 463.94 and 135.98

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Solution

The fourth proportional to 309.19, 463.94 and 135.98 is: 204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 463.94 = 135.98 : x
  2. Step 2: Convert to fraction form
    309.19/463.94 = 135.98/x
  3. Step 3: Cross multiply
    309.19x = 463.94 × 135.98
  4. Step 4: Simplify right side
    309.19x = 63,085.45
  5. Step 5: Solve for x
    x = 63,085.45/309.19
  6. Step 6: Final answer
    x = 204.03

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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.