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Finding the Fourth Proportional to 294.74, 442 and 102.32

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Solution

The fourth proportional to 294.74, 442 and 102.32 is: 153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 442 = 102.32 : x
  2. Step 2: Convert to fraction form
    294.74/442 = 102.32/x
  3. Step 3: Cross multiply
    294.74x = 442 × 102.32
  4. Step 4: Simplify right side
    294.74x = 45,225.44
  5. Step 5: Solve for x
    x = 45,225.44/294.74
  6. Step 6: Final answer
    x = 153.44

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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.