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Finding the Fourth Proportional to 210.68, 315.68 and 145.46

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Solution

The fourth proportional to 210.68, 315.68 and 145.46 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 315.68 = 145.46 : x
  2. Step 2: Convert to fraction form
    210.68/315.68 = 145.46/x
  3. Step 3: Cross multiply
    210.68x = 315.68 × 145.46
  4. Step 4: Simplify right side
    210.68x = 45,916.51
  5. Step 5: Solve for x
    x = 45,916.51/210.68
  6. Step 6: Final answer
    x = 217.95

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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.