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Finding the Fourth Proportional to 191.54, 285.88 and 177.10

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Solution

The fourth proportional to 191.54, 285.88 and 177.10 is: 264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 285.88 = 177.10 : x
  2. Step 2: Convert to fraction form
    191.54/285.88 = 177.10/x
  3. Step 3: Cross multiply
    191.54x = 285.88 × 177.10
  4. Step 4: Simplify right side
    191.54x = 50,629.35
  5. Step 5: Solve for x
    x = 50,629.35/191.54
  6. Step 6: Final answer
    x = 264.33

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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.