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Finding the Fourth Proportional to 298.51, 412.00 and 216

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Solution

The fourth proportional to 298.51, 412.00 and 216 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 412.00 = 216 : x
  2. Step 2: Convert to fraction form
    298.51/412.00 = 216/x
  3. Step 3: Cross multiply
    298.51x = 412.00 × 216
  4. Step 4: Simplify right side
    298.51x = 88,991.46
  5. Step 5: Solve for x
    x = 88,991.46/298.51
  6. Step 6: Final answer
    x = 298.12

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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.