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Finding the Fourth Proportional to 177.10, 244.09 and 152.44

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Solution

The fourth proportional to 177.10, 244.09 and 152.44 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 244.09 = 152.44 : x
  2. Step 2: Convert to fraction form
    177.10/244.09 = 152.44/x
  3. Step 3: Cross multiply
    177.10x = 244.09 × 152.44
  4. Step 4: Simplify right side
    177.10x = 37,209.08
  5. Step 5: Solve for x
    x = 37,209.08/177.10
  6. Step 6: Final answer
    x = 210.10

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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.