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Finding the Fourth Proportional to 214.72, 322.18 and 99.10

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Solution

The fourth proportional to 214.72, 322.18 and 99.10 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 322.18 = 99.10 : x
  2. Step 2: Convert to fraction form
    214.72/322.18 = 99.10/x
  3. Step 3: Cross multiply
    214.72x = 322.18 × 99.10
  4. Step 4: Simplify right side
    214.72x = 31,927.44
  5. Step 5: Solve for x
    x = 31,927.44/214.72
  6. Step 6: Final answer
    x = 148.69

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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.