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Finding the Fourth Proportional to 214.32, 295.63 and 152.24

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Solution

The fourth proportional to 214.32, 295.63 and 152.24 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 295.63 = 152.24 : x
  2. Step 2: Convert to fraction form
    214.32/295.63 = 152.24/x
  3. Step 3: Cross multiply
    214.32x = 295.63 × 152.24
  4. Step 4: Simplify right side
    214.32x = 45,005.35
  5. Step 5: Solve for x
    x = 45,005.35/214.32
  6. Step 6: Final answer
    x = 209.99

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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.