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Finding the Fourth Proportional to 178.10, 245.77 and 100.47

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Solution

The fourth proportional to 178.10, 245.77 and 100.47 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 245.77 = 100.47 : x
  2. Step 2: Convert to fraction form
    178.10/245.77 = 100.47/x
  3. Step 3: Cross multiply
    178.10x = 245.77 × 100.47
  4. Step 4: Simplify right side
    178.10x = 24,692.51
  5. Step 5: Solve for x
    x = 24,692.51/178.10
  6. Step 6: Final answer
    x = 138.64

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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.