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Finding the Fourth Proportional to 214.74, 320.10 and 202.98

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Solution

The fourth proportional to 214.74, 320.10 and 202.98 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 320.10 = 202.98 : x
  2. Step 2: Convert to fraction form
    214.74/320.10 = 202.98/x
  3. Step 3: Cross multiply
    214.74x = 320.10 × 202.98
  4. Step 4: Simplify right side
    214.74x = 64,973.90
  5. Step 5: Solve for x
    x = 64,973.90/214.74
  6. Step 6: Final answer
    x = 302.57

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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.