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Finding the Fourth Proportional to 214.46, 295.64 and 152.36

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Solution

The fourth proportional to 214.46, 295.64 and 152.36 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.46 : 295.64 = 152.36 : x
  2. Step 2: Convert to fraction form
    214.46/295.64 = 152.36/x
  3. Step 3: Cross multiply
    214.46x = 295.64 × 152.36
  4. Step 4: Simplify right side
    214.46x = 45,043.71
  5. Step 5: Solve for x
    x = 45,043.71/214.46
  6. Step 6: Final answer
    x = 210.03

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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.