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Finding the Fourth Proportional to 313.04, 432.06 and 188.80

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Solution

The fourth proportional to 313.04, 432.06 and 188.80 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.04 : 432.06 = 188.80 : x
  2. Step 2: Convert to fraction form
    313.04/432.06 = 188.80/x
  3. Step 3: Cross multiply
    313.04x = 432.06 × 188.80
  4. Step 4: Simplify right side
    313.04x = 81,572.93
  5. Step 5: Solve for x
    x = 81,572.93/313.04
  6. Step 6: Final answer
    x = 260.58

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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.