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Finding the Fourth Proportional to 210.02, 314.67 and 123.13

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Solution

The fourth proportional to 210.02, 314.67 and 123.13 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 314.67 = 123.13 : x
  2. Step 2: Convert to fraction form
    210.02/314.67 = 123.13/x
  3. Step 3: Cross multiply
    210.02x = 314.67 × 123.13
  4. Step 4: Simplify right side
    210.02x = 38,745.32
  5. Step 5: Solve for x
    x = 38,745.32/210.02
  6. Step 6: Final answer
    x = 184.48

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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.