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Finding the Fourth Proportional to 295.23, 443.57 and 167.07

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Solution

The fourth proportional to 295.23, 443.57 and 167.07 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.23 : 443.57 = 167.07 : x
  2. Step 2: Convert to fraction form
    295.23/443.57 = 167.07/x
  3. Step 3: Cross multiply
    295.23x = 443.57 × 167.07
  4. Step 4: Simplify right side
    295.23x = 74,106.40
  5. Step 5: Solve for x
    x = 74,106.40/295.23
  6. Step 6: Final answer
    x = 251.01

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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.