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Finding the Fourth Proportional to 301.46, 416.10 and 214.16

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Solution

The fourth proportional to 301.46, 416.10 and 214.16 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 416.10 = 214.16 : x
  2. Step 2: Convert to fraction form
    301.46/416.10 = 214.16/x
  3. Step 3: Cross multiply
    301.46x = 416.10 × 214.16
  4. Step 4: Simplify right side
    301.46x = 89,111.98
  5. Step 5: Solve for x
    x = 89,111.98/301.46
  6. Step 6: Final answer
    x = 295.60

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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.