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Finding the Fourth Proportional to 460.04, 690.06 and 186.08

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Solution

The fourth proportional to 460.04, 690.06 and 186.08 is: 279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 690.06 = 186.08 : x
  2. Step 2: Convert to fraction form
    460.04/690.06 = 186.08/x
  3. Step 3: Cross multiply
    460.04x = 690.06 × 186.08
  4. Step 4: Simplify right side
    460.04x = 128,406.36
  5. Step 5: Solve for x
    x = 128,406.36/460.04
  6. Step 6: Final answer
    x = 279.12

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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.