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Finding the Fourth Proportional to 294.47, 441.70 and 102.09

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Solution

The fourth proportional to 294.47, 441.70 and 102.09 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 441.70 = 102.09 : x
  2. Step 2: Convert to fraction form
    294.47/441.70 = 102.09/x
  3. Step 3: Cross multiply
    294.47x = 441.70 × 102.09
  4. Step 4: Simplify right side
    294.47x = 45,095.13
  5. Step 5: Solve for x
    x = 45,095.13/294.47
  6. Step 6: Final answer
    x = 153.14

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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.