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Finding the Fourth Proportional to 169.68, 253.10 and 158.34

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Solution

The fourth proportional to 169.68, 253.10 and 158.34 is: 236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 253.10 = 158.34 : x
  2. Step 2: Convert to fraction form
    169.68/253.10 = 158.34/x
  3. Step 3: Cross multiply
    169.68x = 253.10 × 158.34
  4. Step 4: Simplify right side
    169.68x = 40,075.06
  5. Step 5: Solve for x
    x = 40,075.06/169.68
  6. Step 6: Final answer
    x = 236.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.