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Finding the Fourth Proportional to 178.23, 245.87 and 154.87

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Solution

The fourth proportional to 178.23, 245.87 and 154.87 is: 213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 245.87 = 154.87 : x
  2. Step 2: Convert to fraction form
    178.23/245.87 = 154.87/x
  3. Step 3: Cross multiply
    178.23x = 245.87 × 154.87
  4. Step 4: Simplify right side
    178.23x = 38,075.88
  5. Step 5: Solve for x
    x = 38,075.88/178.23
  6. Step 6: Final answer
    x = 213.63

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