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Finding the Fourth Proportional to 257.04, 354.71 and 152.08

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Solution

The fourth proportional to 257.04, 354.71 and 152.08 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 354.71 = 152.08 : x
  2. Step 2: Convert to fraction form
    257.04/354.71 = 152.08/x
  3. Step 3: Cross multiply
    257.04x = 354.71 × 152.08
  4. Step 4: Simplify right side
    257.04x = 53,943.79
  5. Step 5: Solve for x
    x = 53,943.79/257.04
  6. Step 6: Final answer
    x = 209.87

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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.