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Finding the Fourth Proportional to 199.65, 275.35 and 187.91

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Solution

The fourth proportional to 199.65, 275.35 and 187.91 is: 259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.65 : 275.35 = 187.91 : x
  2. Step 2: Convert to fraction form
    199.65/275.35 = 187.91/x
  3. Step 3: Cross multiply
    199.65x = 275.35 × 187.91
  4. Step 4: Simplify right side
    199.65x = 51,741.02
  5. Step 5: Solve for x
    x = 51,741.02/199.65
  6. Step 6: Final answer
    x = 259.16

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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.