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Finding the Fourth Proportional to 246.32, 368.94 and 177.68

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Solution

The fourth proportional to 246.32, 368.94 and 177.68 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 368.94 = 177.68 : x
  2. Step 2: Convert to fraction form
    246.32/368.94 = 177.68/x
  3. Step 3: Cross multiply
    246.32x = 368.94 × 177.68
  4. Step 4: Simplify right side
    246.32x = 65,551.41
  5. Step 5: Solve for x
    x = 65,551.41/246.32
  6. Step 6: Final answer
    x = 266.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.