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Finding the Fourth Proportional to 178.59, 245.68 and 156.36

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Solution

The fourth proportional to 178.59, 245.68 and 156.36 is: 215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 245.68 = 156.36 : x
  2. Step 2: Convert to fraction form
    178.59/245.68 = 156.36/x
  3. Step 3: Cross multiply
    178.59x = 245.68 × 156.36
  4. Step 4: Simplify right side
    178.59x = 38,414.13
  5. Step 5: Solve for x
    x = 38,414.13/178.59
  6. Step 6: Final answer
    x = 215.10

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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.