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Finding the Fourth Proportional to 294.58, 441.90 and 78.16

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Solution

The fourth proportional to 294.58, 441.90 and 78.16 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.58 : 441.90 = 78.16 : x
  2. Step 2: Convert to fraction form
    294.58/441.90 = 78.16/x
  3. Step 3: Cross multiply
    294.58x = 441.90 × 78.16
  4. Step 4: Simplify right side
    294.58x = 34,538.90
  5. Step 5: Solve for x
    x = 34,538.90/294.58
  6. Step 6: Final answer
    x = 117.25

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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.