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Finding the Fourth Proportional to 257.16, 354.88 and 146.63

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Solution

The fourth proportional to 257.16, 354.88 and 146.63 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 354.88 = 146.63 : x
  2. Step 2: Convert to fraction form
    257.16/354.88 = 146.63/x
  3. Step 3: Cross multiply
    257.16x = 354.88 × 146.63
  4. Step 4: Simplify right side
    257.16x = 52,036.58
  5. Step 5: Solve for x
    x = 52,036.58/257.16
  6. Step 6: Final answer
    x = 202.35

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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.