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Finding the Fourth Proportional to 553, 829.50 and 187.76

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Solution

The fourth proportional to 553, 829.50 and 187.76 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 829.50 = 187.76 : x
  2. Step 2: Convert to fraction form
    553/829.50 = 187.76/x
  3. Step 3: Cross multiply
    553x = 829.50 × 187.76
  4. Step 4: Simplify right side
    553x = 155,746.92
  5. Step 5: Solve for x
    x = 155,746.92/553
  6. Step 6: Final answer
    x = 281.64

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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.