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Finding the Fourth Proportional to 189.34, 262.58 and 177.46

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Solution

The fourth proportional to 189.34, 262.58 and 177.46 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 262.58 = 177.46 : x
  2. Step 2: Convert to fraction form
    189.34/262.58 = 177.46/x
  3. Step 3: Cross multiply
    189.34x = 262.58 × 177.46
  4. Step 4: Simplify right side
    189.34x = 46,595.25
  5. Step 5: Solve for x
    x = 46,595.25/189.34
  6. Step 6: Final answer
    x = 246.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.