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Finding the Fourth Proportional to 178.02, 265.59 and 167.94

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Solution

The fourth proportional to 178.02, 265.59 and 167.94 is: 250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 265.59 = 167.94 : x
  2. Step 2: Convert to fraction form
    178.02/265.59 = 167.94/x
  3. Step 3: Cross multiply
    178.02x = 265.59 × 167.94
  4. Step 4: Simplify right side
    178.02x = 44,603.18
  5. Step 5: Solve for x
    x = 44,603.18/178.02
  6. Step 6: Final answer
    x = 250.55

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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.