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Finding the Fourth Proportional to 225.08, 310.57 and 146.50

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Solution

The fourth proportional to 225.08, 310.57 and 146.50 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.08 : 310.57 = 146.50 : x
  2. Step 2: Convert to fraction form
    225.08/310.57 = 146.50/x
  3. Step 3: Cross multiply
    225.08x = 310.57 × 146.50
  4. Step 4: Simplify right side
    225.08x = 45,498.51
  5. Step 5: Solve for x
    x = 45,498.51/225.08
  6. Step 6: Final answer
    x = 202.14

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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.