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Finding the Fourth Proportional to 295.04, 442.66 and 165

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Solution

The fourth proportional to 295.04, 442.66 and 165 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 442.66 = 165 : x
  2. Step 2: Convert to fraction form
    295.04/442.66 = 165/x
  3. Step 3: Cross multiply
    295.04x = 442.66 × 165
  4. Step 4: Simplify right side
    295.04x = 73,038.90
  5. Step 5: Solve for x
    x = 73,038.90/295.04
  6. Step 6: Final answer
    x = 247.56

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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.