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Finding the Fourth Proportional to 210.15, 313.38 and 199.17

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Solution

The fourth proportional to 210.15, 313.38 and 199.17 is: 297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 313.38 = 199.17 : x
  2. Step 2: Convert to fraction form
    210.15/313.38 = 199.17/x
  3. Step 3: Cross multiply
    210.15x = 313.38 × 199.17
  4. Step 4: Simplify right side
    210.15x = 62,415.89
  5. Step 5: Solve for x
    x = 62,415.89/210.15
  6. Step 6: Final answer
    x = 297.01

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