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Finding the Fourth Proportional to 257.55, 355.50 and 152.63

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Solution

The fourth proportional to 257.55, 355.50 and 152.63 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 355.50 = 152.63 : x
  2. Step 2: Convert to fraction form
    257.55/355.50 = 152.63/x
  3. Step 3: Cross multiply
    257.55x = 355.50 × 152.63
  4. Step 4: Simplify right side
    257.55x = 54,259.20
  5. Step 5: Solve for x
    x = 54,259.20/257.55
  6. Step 6: Final answer
    x = 210.68

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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.