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Finding the Fourth Proportional to 210.09, 314.86 and 142.05

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Solution

The fourth proportional to 210.09, 314.86 and 142.05 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 314.86 = 142.05 : x
  2. Step 2: Convert to fraction form
    210.09/314.86 = 142.05/x
  3. Step 3: Cross multiply
    210.09x = 314.86 × 142.05
  4. Step 4: Simplify right side
    210.09x = 44,727.35
  5. Step 5: Solve for x
    x = 44,727.35/210.09
  6. Step 6: Final answer
    x = 212.89

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