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Finding the Fourth Proportional to 214.96, 322.44 and 183.10

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Solution

The fourth proportional to 214.96, 322.44 and 183.10 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 322.44 = 183.10 : x
  2. Step 2: Convert to fraction form
    214.96/322.44 = 183.10/x
  3. Step 3: Cross multiply
    214.96x = 322.44 × 183.10
  4. Step 4: Simplify right side
    214.96x = 59,038.76
  5. Step 5: Solve for x
    x = 59,038.76/214.96
  6. Step 6: Final answer
    x = 274.65

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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.