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Finding the Fourth Proportional to 255.79, 353.01 and 152.29

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Solution

The fourth proportional to 255.79, 353.01 and 152.29 is: 210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.79 : 353.01 = 152.29 : x
  2. Step 2: Convert to fraction form
    255.79/353.01 = 152.29/x
  3. Step 3: Cross multiply
    255.79x = 353.01 × 152.29
  4. Step 4: Simplify right side
    255.79x = 53,759.89
  5. Step 5: Solve for x
    x = 53,759.89/255.79
  6. Step 6: Final answer
    x = 210.17

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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.