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Finding the Fourth Proportional to 298.98, 412.29 and 188.46

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Solution

The fourth proportional to 298.98, 412.29 and 188.46 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.29 = 188.46 : x
  2. Step 2: Convert to fraction form
    298.98/412.29 = 188.46/x
  3. Step 3: Cross multiply
    298.98x = 412.29 × 188.46
  4. Step 4: Simplify right side
    298.98x = 77,700.17
  5. Step 5: Solve for x
    x = 77,700.17/298.98
  6. Step 6: Final answer
    x = 259.88

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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.