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Finding the Fourth Proportional to 257.06, 354.72 and 146.51

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Solution

The fourth proportional to 257.06, 354.72 and 146.51 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.72 = 146.51 : x
  2. Step 2: Convert to fraction form
    257.06/354.72 = 146.51/x
  3. Step 3: Cross multiply
    257.06x = 354.72 × 146.51
  4. Step 4: Simplify right side
    257.06x = 51,968.25
  5. Step 5: Solve for x
    x = 51,968.25/257.06
  6. Step 6: Final answer
    x = 202.17

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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.