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Finding the Fourth Proportional to 214.58, 319.99 and 212.63

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Solution

The fourth proportional to 214.58, 319.99 and 212.63 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 319.99 = 212.63 : x
  2. Step 2: Convert to fraction form
    214.58/319.99 = 212.63/x
  3. Step 3: Cross multiply
    214.58x = 319.99 × 212.63
  4. Step 4: Simplify right side
    214.58x = 68,038.41
  5. Step 5: Solve for x
    x = 68,038.41/214.58
  6. Step 6: Final answer
    x = 317.08

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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.