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Finding the Fourth Proportional to 191.06, 286.35 and 117.70

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Solution

The fourth proportional to 191.06, 286.35 and 117.70 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 286.35 = 117.70 : x
  2. Step 2: Convert to fraction form
    191.06/286.35 = 117.70/x
  3. Step 3: Cross multiply
    191.06x = 286.35 × 117.70
  4. Step 4: Simplify right side
    191.06x = 33,702.24
  5. Step 5: Solve for x
    x = 33,702.24/191.06
  6. Step 6: Final answer
    x = 176.40

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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.