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Finding the Fourth Proportional to 179.69, 267.16 and 172.40

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Solution

The fourth proportional to 179.69, 267.16 and 172.40 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.69 : 267.16 = 172.40 : x
  2. Step 2: Convert to fraction form
    179.69/267.16 = 172.40/x
  3. Step 3: Cross multiply
    179.69x = 267.16 × 172.40
  4. Step 4: Simplify right side
    179.69x = 46,058.38
  5. Step 5: Solve for x
    x = 46,058.38/179.69
  6. Step 6: Final answer
    x = 256.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.