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Finding the Fourth Proportional to 313.14, 469.98 and 205.06

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Solution

The fourth proportional to 313.14, 469.98 and 205.06 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 469.98 = 205.06 : x
  2. Step 2: Convert to fraction form
    313.14/469.98 = 205.06/x
  3. Step 3: Cross multiply
    313.14x = 469.98 × 205.06
  4. Step 4: Simplify right side
    313.14x = 96,374.10
  5. Step 5: Solve for x
    x = 96,374.10/313.14
  6. Step 6: Final answer
    x = 307.77

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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.