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Finding the Fourth Proportional to 210.49, 314.07 and 185.87

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Solution

The fourth proportional to 210.49, 314.07 and 185.87 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 314.07 = 185.87 : x
  2. Step 2: Convert to fraction form
    210.49/314.07 = 185.87/x
  3. Step 3: Cross multiply
    210.49x = 314.07 × 185.87
  4. Step 4: Simplify right side
    210.49x = 58,376.19
  5. Step 5: Solve for x
    x = 58,376.19/210.49
  6. Step 6: Final answer
    x = 277.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.