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Finding the Fourth Proportional to 301.84, 452.88 and 210.49

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Solution

The fourth proportional to 301.84, 452.88 and 210.49 is: 315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 452.88 = 210.49 : x
  2. Step 2: Convert to fraction form
    301.84/452.88 = 210.49/x
  3. Step 3: Cross multiply
    301.84x = 452.88 × 210.49
  4. Step 4: Simplify right side
    301.84x = 95,326.71
  5. Step 5: Solve for x
    x = 95,326.71/301.84
  6. Step 6: Final answer
    x = 315.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.