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Finding the Fourth Proportional to 191.66, 285.98 and 180

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Solution

The fourth proportional to 191.66, 285.98 and 180 is: 268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.66 : 285.98 = 180 : x
  2. Step 2: Convert to fraction form
    191.66/285.98 = 180/x
  3. Step 3: Cross multiply
    191.66x = 285.98 × 180
  4. Step 4: Simplify right side
    191.66x = 51,475.50
  5. Step 5: Solve for x
    x = 51,475.50/191.66
  6. Step 6: Final answer
    x = 268.58

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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.