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Finding the Fourth Proportional to 214.45, 295.95 and 131.53

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Solution

The fourth proportional to 214.45, 295.95 and 131.53 is: 181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 295.95 = 131.53 : x
  2. Step 2: Convert to fraction form
    214.45/295.95 = 131.53/x
  3. Step 3: Cross multiply
    214.45x = 295.95 × 131.53
  4. Step 4: Simplify right side
    214.45x = 38,926.67
  5. Step 5: Solve for x
    x = 38,926.67/214.45
  6. Step 6: Final answer
    x = 181.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.