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Finding the Fourth Proportional to 217.88, 300.54 and 152.40

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Solution

The fourth proportional to 217.88, 300.54 and 152.40 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 300.54 = 152.40 : x
  2. Step 2: Convert to fraction form
    217.88/300.54 = 152.40/x
  3. Step 3: Cross multiply
    217.88x = 300.54 × 152.40
  4. Step 4: Simplify right side
    217.88x = 45,802.30
  5. Step 5: Solve for x
    x = 45,802.30/217.88
  6. Step 6: Final answer
    x = 210.22

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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.