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Finding the Fourth Proportional to 250.54, 345.68 and 152.28

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Solution

The fourth proportional to 250.54, 345.68 and 152.28 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 345.68 = 152.28 : x
  2. Step 2: Convert to fraction form
    250.54/345.68 = 152.28/x
  3. Step 3: Cross multiply
    250.54x = 345.68 × 152.28
  4. Step 4: Simplify right side
    250.54x = 52,638.42
  5. Step 5: Solve for x
    x = 52,638.42/250.54
  6. Step 6: Final answer
    x = 210.10

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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.