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Finding the Fourth Proportional to 178.77, 246.75 and 170.52

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Solution

The fourth proportional to 178.77, 246.75 and 170.52 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 246.75 = 170.52 : x
  2. Step 2: Convert to fraction form
    178.77/246.75 = 170.52/x
  3. Step 3: Cross multiply
    178.77x = 246.75 × 170.52
  4. Step 4: Simplify right side
    178.77x = 42,075.81
  5. Step 5: Solve for x
    x = 42,075.81/178.77
  6. Step 6: Final answer
    x = 235.36

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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.