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Finding the Fourth Proportional to 298.19, 411.53 and 187.76

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Solution

The fourth proportional to 298.19, 411.53 and 187.76 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.19 : 411.53 = 187.76 : x
  2. Step 2: Convert to fraction form
    298.19/411.53 = 187.76/x
  3. Step 3: Cross multiply
    298.19x = 411.53 × 187.76
  4. Step 4: Simplify right side
    298.19x = 77,267.93
  5. Step 5: Solve for x
    x = 77,267.93/298.19
  6. Step 6: Final answer
    x = 259.12

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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.