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Finding the Fourth Proportional to 250.02, 375.30 and 210.06

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Solution

The fourth proportional to 250.02, 375.30 and 210.06 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 375.30 = 210.06 : x
  2. Step 2: Convert to fraction form
    250.02/375.30 = 210.06/x
  3. Step 3: Cross multiply
    250.02x = 375.30 × 210.06
  4. Step 4: Simplify right side
    250.02x = 78,835.52
  5. Step 5: Solve for x
    x = 78,835.52/250.02
  6. Step 6: Final answer
    x = 315.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.