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Finding the Fourth Proportional to 294.77, 442.16 and 78.35

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Solution

The fourth proportional to 294.77, 442.16 and 78.35 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.77 : 442.16 = 78.35 : x
  2. Step 2: Convert to fraction form
    294.77/442.16 = 78.35/x
  3. Step 3: Cross multiply
    294.77x = 442.16 × 78.35
  4. Step 4: Simplify right side
    294.77x = 34,644.54
  5. Step 5: Solve for x
    x = 34,644.54/294.77
  6. Step 6: Final answer
    x = 117.53

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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.