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Finding the Fourth Proportional to 214.49, 295.89 and 152.33

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Solution

The fourth proportional to 214.49, 295.89 and 152.33 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 295.89 = 152.33 : x
  2. Step 2: Convert to fraction form
    214.49/295.89 = 152.33/x
  3. Step 3: Cross multiply
    214.49x = 295.89 × 152.33
  4. Step 4: Simplify right side
    214.49x = 45,071.44
  5. Step 5: Solve for x
    x = 45,071.44/214.49
  6. Step 6: Final answer
    x = 210.14

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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.