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Finding the Fourth Proportional to 178.46, 246.78 and 156.58

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Solution

The fourth proportional to 178.46, 246.78 and 156.58 is: 216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 246.78 = 156.58 : x
  2. Step 2: Convert to fraction form
    178.46/246.78 = 156.58/x
  3. Step 3: Cross multiply
    178.46x = 246.78 × 156.58
  4. Step 4: Simplify right side
    178.46x = 38,640.81
  5. Step 5: Solve for x
    x = 38,640.81/178.46
  6. Step 6: Final answer
    x = 216.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.