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Finding the Fourth Proportional to 210.10, 314.55 and 186.10

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Solution

The fourth proportional to 210.10, 314.55 and 186.10 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 314.55 = 186.10 : x
  2. Step 2: Convert to fraction form
    210.10/314.55 = 186.10/x
  3. Step 3: Cross multiply
    210.10x = 314.55 × 186.10
  4. Step 4: Simplify right side
    210.10x = 58,537.76
  5. Step 5: Solve for x
    x = 58,537.76/210.10
  6. Step 6: Final answer
    x = 278.62

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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.