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Finding the Fourth Proportional to 261.53, 392.16 and 117.13

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Solution

The fourth proportional to 261.53, 392.16 and 117.13 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 392.16 = 117.13 : x
  2. Step 2: Convert to fraction form
    261.53/392.16 = 117.13/x
  3. Step 3: Cross multiply
    261.53x = 392.16 × 117.13
  4. Step 4: Simplify right side
    261.53x = 45,931.74
  5. Step 5: Solve for x
    x = 45,931.74/261.53
  6. Step 6: Final answer
    x = 175.63

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