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Finding the Fourth Proportional to 294.39, 441.57 and 102

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Solution

The fourth proportional to 294.39, 441.57 and 102 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.39 : 441.57 = 102 : x
  2. Step 2: Convert to fraction form
    294.39/441.57 = 102/x
  3. Step 3: Cross multiply
    294.39x = 441.57 × 102
  4. Step 4: Simplify right side
    294.39x = 45,040.14
  5. Step 5: Solve for x
    x = 45,040.14/294.39
  6. Step 6: Final answer
    x = 152.99

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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.