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Finding the Fourth Proportional to 295.07, 442.65 and 109.98

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Solution

The fourth proportional to 295.07, 442.65 and 109.98 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.07 : 442.65 = 109.98 : x
  2. Step 2: Convert to fraction form
    295.07/442.65 = 109.98/x
  3. Step 3: Cross multiply
    295.07x = 442.65 × 109.98
  4. Step 4: Simplify right side
    295.07x = 48,682.65
  5. Step 5: Solve for x
    x = 48,682.65/295.07
  6. Step 6: Final answer
    x = 164.99

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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.